Трапеция — Википедия

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</div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Шәхси ҡоралдар"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Уҡыу көйләүҙәре"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Измените внешний вид страницы, размер, ширину и цвет шрифта." > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Уҡыу көйләүҙәре" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Уҡыу көйләүҙәре</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=ba" class=""><span>Иғәнә</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%98%D2%AB%D3%99%D0%BF_%D1%8F%D2%99%D1%8B%D1%83%D1%8B_%D1%8F%D2%BB%D0%B0%D1%83&returnto=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Мотлаҡ булмаһа ла, иҫәп яҙмаһы төҙөргә һәм системала танылырға тәҡдим итәбеҙ" class=""><span>Теркәлеү</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%A2%D0%B0%D0%BD%D1%8B%D0%BB%D1%8B%D1%83&returnto=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Бында теркәлеү үтергә була, әммә мотлаҡ түгел [o]" accesskey="o" class=""><span>Танылыу</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Күберәк мөмкинлектәр" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Шәхси ҡоралдар" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Шәхси ҡоралдар</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Ҡатнашыусы менюһы" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=ba"><span>Иғәнә</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%98%D2%AB%D3%99%D0%BF_%D1%8F%D2%99%D1%8B%D1%83%D1%8B_%D1%8F%D2%BB%D0%B0%D1%83&returnto=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Мотлаҡ булмаһа ла, иҫәп яҙмаһы төҙөргә һәм системала танылырға тәҡдим итәбеҙ"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Теркәлеү</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%A2%D0%B0%D0%BD%D1%8B%D0%BB%D1%8B%D1%83&returnto=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Бында теркәлеү үтергә була, әммә мотлаҡ түгел [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Танылыу</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Танылмаған мөхәррирҙәр өсөн бит <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A0%D3%99%D1%85%D0%B8%D0%BC_%D0%B8%D1%82%D0%B5%D0%B3%D0%B5%D2%99" aria-label="Мөхәррирләү тураһында ентеклерәк"><span>Күберәк белергә</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D3%A8%D0%BB%D3%A9%D1%88%D3%A9%D0%BC" title="Был IP-адрестан яһалған төҙәтеүҙәр [y]" accesskey="y"><span>Өлөш</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D3%98%D2%A3%D0%B3%D3%99%D0%BC%D3%99_%D0%B1%D0%B8%D1%82%D0%B5%D0%BC" title="IP-адресығыҙ өсөн фекер алышыу бите [n]" accesskey="n"><span>Фекер алышыу</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><div id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003Eйәшерергә\u003C/a\u003E]\u003C/div\u003E\u003Cdiv class=\"mw-dismissable-notice-body\"\u003E\u003C!-- CentralNotice --\u003E\u003Cdiv id=\"localNotice\" data-nosnippet=\"\"\u003E\u003Cdiv class=\"sitenotice\" lang=\"ba\" 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vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ҡабырға панеленә күсерергә</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">йәшерергә</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Башы</div> </a> </li> <li id="toc-Билдәләмәнең_төрҙәре" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Билдәләмәнең_төрҙәре"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Билдәләмәнең төрҙәре</span> </div> </a> <ul id="toc-Билдәләмәнең_төрҙәре-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Бәйләнгән_билдәләмәләр" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Бәйләнгән_билдәләмәләр"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Бәйләнгән билдәләмәләр</span> </div> </a> <button aria-controls="toc-Бәйләнгән_билдәләмәләр-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Бәйләнгән билдәләмәләр бүлеген күрһәтергә/йәшерергә</span> </button> <ul id="toc-Бәйләнгән_билдәләмәләр-sublist" class="vector-toc-list"> <li id="toc-Трапецияның_элементтары" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Трапецияның_элементтары"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Трапецияның элементтары</span> </div> </a> <ul id="toc-Трапецияның_элементтары-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Трапецияның_төрҙәре" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Трапецияның_төрҙәре"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Трапецияның төрҙәре</span> </div> </a> <ul id="toc-Трапецияның_төрҙәре-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Уртаҡ_үҙсәнлектәре" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Уртаҡ_үҙсәнлектәре"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Уртаҡ үҙсәнлектәре</span> </div> </a> <ul id="toc-Уртаҡ_үҙсәнлектәре-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Тигеҙ_эргәле_трапецияның_үҙсәнлектәре_һәм_билдәләре" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Тигеҙ_эргәле_трапецияның_үҙсәнлектәре_һәм_билдәләре"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Тигеҙ эргәле трапецияның үҙсәнлектәре һәм билдәләре</span> </div> </a> <ul id="toc-Тигеҙ_эргәле_трапецияның_үҙсәнлектәре_һәм_билдәләре-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ҡамалған_һәм_ҡамаусы_әйләнә" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ҡамалған_һәм_ҡамаусы_әйләнә"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Ҡамалған һәм ҡамаусы әйләнә</span> </div> </a> <ul id="toc-Ҡамалған_һәм_ҡамаусы_әйләнә-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Майҙан" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Майҙан"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Майҙан</span> </div> </a> <ul id="toc-Майҙан-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Иҫкәрмәләр" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Иҫкәрмәләр"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Иҫкәрмәләр</span> </div> </a> <button aria-controls="toc-Иҫкәрмәләр-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Иҫкәрмәләр бүлеген күрһәтергә/йәшерергә</span> </button> <ul id="toc-Иҫкәрмәләр-sublist" class="vector-toc-list"> <li id="toc-Исем" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Исем"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.1</span> <span>Исем</span> </div> </a> <ul id="toc-Исем-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Йөкмәткеһе" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Йөкмәткене күрһәтергә/йәшерергә" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Йөкмәткене күрһәтергә/йәшерергә</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Трапеция</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Икенсе телдәге мәҡәләгә күсегеҙ. 99 телдә уҡырға була" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-99" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">99 тел</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Trapesium" title="Trapesium — африкаанс" lang="af" hreflang="af" data-title="Trapesium" data-language-autonym="Afrikaans" data-language-local-name="африкаанс" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B4%D8%A8%D9%87_%D9%85%D9%86%D8%AD%D8%B1%D9%81" title="شبه منحرف — арабский" lang="ar" hreflang="ar" data-title="شبه منحرف" data-language-autonym="العربية" data-language-local-name="арабский" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Trapeciu_(xeometr%C3%ADa)" title="Trapeciu (xeometría) — астурийский" lang="ast" hreflang="ast" data-title="Trapeciu (xeometría)" data-language-autonym="Asturianu" data-language-local-name="астурийский" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Trapesiya" title="Trapesiya — азербайджанский" lang="az" hreflang="az" data-title="Trapesiya" data-language-autonym="Azərbaycanca" data-language-local-name="азербайджанский" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Trapesoyd" title="Trapesoyd — Central Bikol" lang="bcl" hreflang="bcl" data-title="Trapesoyd" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D1%8B%D1%8F" title="Трапецыя — белорусский" lang="be" hreflang="be" data-title="Трапецыя" data-language-autonym="Беларуская" data-language-local-name="белорусский" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D1%8D%D1%86%D1%8B%D1%8F" title="Трапэцыя — белорусский (тарашкевица)" lang="be-tarask" hreflang="be-tarask" data-title="Трапэцыя" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="белорусский (тарашкевица)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86" title="Трапец — болгарский" lang="bg" hreflang="bg" data-title="Трапец" data-language-autonym="Български" data-language-local-name="болгарский" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9F%E0%A7%8D%E0%A6%B0%E0%A6%BE%E0%A6%AA%E0%A6%BF%E0%A6%9C%E0%A6%BF%E0%A6%AF%E0%A6%BC%E0%A6%BE%E0%A6%AE" title="ট্রাপিজিয়াম — бенгальский" lang="bn" hreflang="bn" data-title="ট্রাপিজিয়াম" data-language-autonym="বাংলা" data-language-local-name="бенгальский" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%A6%E0%BE%90%E0%BD%A6%E0%BC%8B%E0%BD%91%E0%BD%96%E0%BE%B1%E0%BD%B2%E0%BD%96%E0%BD%A6%E0%BC%8B" title="སྐས་དབྱིབས་ — тибетский" lang="bo" hreflang="bo" data-title="སྐས་དབྱིབས་" data-language-autonym="བོད་ཡིག" data-language-local-name="тибетский" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Trapez" title="Trapez — бретонский" lang="br" hreflang="br" data-title="Trapez" data-language-autonym="Brezhoneg" data-language-local-name="бретонский" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Trapez" title="Trapez — боснийский" lang="bs" hreflang="bs" data-title="Trapez" data-language-autonym="Bosanski" data-language-local-name="боснийский" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Trapezi" title="Trapezi — каталанский" lang="ca" hreflang="ca" data-title="Trapezi" data-language-autonym="Català" data-language-local-name="каталанский" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%86%DB%8C%D9%85%DA%86%DB%95%D9%84%D8%A7%D8%AA%DB%95%D8%B1%DB%8C%D8%A8" title="نیمچەلاتەریب — центральнокурдский" lang="ckb" hreflang="ckb" data-title="نیمچەلاتەریب" data-language-autonym="کوردی" data-language-local-name="центральнокурдский" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Lichob%C4%9B%C5%BEn%C3%ADk" title="Lichoběžník — чешский" lang="cs" hreflang="cs" data-title="Lichoběžník" data-language-autonym="Čeština" data-language-local-name="чешский" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8" title="Трапеци — чувашский" lang="cv" hreflang="cv" data-title="Трапеци" data-language-autonym="Чӑвашла" data-language-local-name="чувашский" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Trapesiwm" title="Trapesiwm — валлийский" lang="cy" hreflang="cy" data-title="Trapesiwm" data-language-autonym="Cymraeg" data-language-local-name="валлийский" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Trapez_(matematik)" title="Trapez (matematik) — датский" lang="da" hreflang="da" data-title="Trapez (matematik)" data-language-autonym="Dansk" data-language-local-name="датский" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Trapez_(Geometrie)" title="Trapez (Geometrie) — немецкий" lang="de" hreflang="de" data-title="Trapez (Geometrie)" data-language-autonym="Deutsch" data-language-local-name="немецкий" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CF%81%CE%B1%CF%80%CE%AD%CE%B6%CE%B9%CE%BF" title="Τραπέζιο — греческий" lang="el" hreflang="el" data-title="Τραπέζιο" data-language-autonym="Ελληνικά" data-language-local-name="греческий" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Trapezoid" title="Trapezoid — английский" lang="en" hreflang="en" data-title="Trapezoid" data-language-autonym="English" data-language-local-name="английский" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Trapezo" title="Trapezo — эсперанто" lang="eo" hreflang="eo" data-title="Trapezo" data-language-autonym="Esperanto" data-language-local-name="эсперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Trapecio_(geometr%C3%ADa)" title="Trapecio (geometría) — испанский" lang="es" hreflang="es" data-title="Trapecio (geometría)" data-language-autonym="Español" data-language-local-name="испанский" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Trapets" title="Trapets — эстонский" lang="et" hreflang="et" data-title="Trapets" data-language-autonym="Eesti" data-language-local-name="эстонский" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Trapezio" title="Trapezio — баскский" lang="eu" hreflang="eu" data-title="Trapezio" data-language-autonym="Euskara" data-language-local-name="баскский" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B0%D9%88%D8%B2%D9%86%D9%82%D9%87" title="ذوزنقه — персидский" lang="fa" hreflang="fa" data-title="ذوزنقه" data-language-autonym="فارسی" data-language-local-name="персидский" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Puolisuunnikas" title="Puolisuunnikas — финский" lang="fi" hreflang="fi" data-title="Puolisuunnikas" data-language-autonym="Suomi" data-language-local-name="финский" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Trap%C3%A8ze" title="Trapèze — французский" lang="fr" hreflang="fr" data-title="Trapèze" data-language-autonym="Français" data-language-local-name="французский" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Trapeets" title="Trapeets — северный фризский" lang="frr" hreflang="frr" data-title="Trapeets" data-language-autonym="Nordfriisk" data-language-local-name="северный фризский" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Traip%C3%A9isiam" title="Traipéisiam — ирландский" lang="ga" hreflang="ga" data-title="Traipéisiam" data-language-autonym="Gaeilge" data-language-local-name="ирландский" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Trapecio" title="Trapecio — галисийский" lang="gl" hreflang="gl" data-title="Trapecio" data-language-autonym="Galego" data-language-local-name="галисийский" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B8%E0%AA%AE%E0%AA%BE%E0%AA%82%E0%AA%A4%E0%AA%B0%E0%AA%AC%E0%AA%BE%E0%AA%9C%E0%AB%81_%E0%AA%9A%E0%AA%A4%E0%AB%81%E0%AA%B7%E0%AB%8D%E0%AA%95%E0%AB%8B%E0%AA%A3" title="સમાંતરબાજુ ચતુષ્કોણ — гуджарати" lang="gu" hreflang="gu" data-title="સમાંતરબાજુ ચતુષ્કોણ" data-language-autonym="ગુજરાતી" data-language-local-name="гуджарати" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%98%D7%A8%D7%A4%D7%96" title="טרפז — иврит" lang="he" hreflang="he" data-title="טרפז" data-language-autonym="עברית" data-language-local-name="иврит" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%B2%E0%A4%AE%E0%A5%8D%E0%A4%AC_%E0%A4%9A%E0%A4%A4%E0%A5%81%E0%A4%B0%E0%A5%8D%E0%A4%AD%E0%A5%81%E0%A4%9C" title="समलम्ब चतुर्भुज — хинди" lang="hi" hreflang="hi" data-title="समलम्ब चतुर्भुज" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Trapez_(geometrija)" title="Trapez (geometrija) — хорватский" lang="hr" hreflang="hr" data-title="Trapez (geometrija)" data-language-autonym="Hrvatski" data-language-local-name="хорватский" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hsb mw-list-item"><a href="https://hsb.wikipedia.org/wiki/Trapec" title="Trapec — верхнелужицкий" lang="hsb" hreflang="hsb" data-title="Trapec" data-language-autonym="Hornjoserbsce" data-language-local-name="верхнелужицкий" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Trap%C3%A9z" title="Trapéz — венгерский" lang="hu" hreflang="hu" data-title="Trapéz" data-language-autonym="Magyar" data-language-local-name="венгерский" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8D%D5%A5%D5%B2%D5%A1%D5%B6_(%D5%A5%D6%80%D5%AF%D6%80%D5%A1%D5%B9%D5%A1%D6%83%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6)" title="Սեղան (երկրաչափություն) — армянский" lang="hy" hreflang="hy" data-title="Սեղան (երկրաչափություն)" data-language-autonym="Հայերեն" data-language-local-name="армянский" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Trapezio" title="Trapezio — интерлингва" lang="ia" hreflang="ia" data-title="Trapezio" data-language-autonym="Interlingua" data-language-local-name="интерлингва" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Trapesium_(geometri)" title="Trapesium (geometri) — индонезийский" lang="id" hreflang="id" data-title="Trapesium (geometri)" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезийский" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Trapezoido" title="Trapezoido — идо" lang="io" hreflang="io" data-title="Trapezoido" data-language-autonym="Ido" data-language-local-name="идо" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Trapisa" title="Trapisa — исландский" lang="is" hreflang="is" data-title="Trapisa" data-language-autonym="Íslenska" data-language-local-name="исландский" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Trapezio" title="Trapezio — итальянский" lang="it" hreflang="it" data-title="Trapezio" data-language-autonym="Italiano" data-language-local-name="итальянский" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8F%B0%E5%BD%A2" title="台形 — японский" lang="ja" hreflang="ja" data-title="台形" data-language-autonym="日本語" data-language-local-name="японский" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Ngapan-apan" title="Ngapan-apan — яванский" lang="jv" hreflang="jv" data-title="Ngapan-apan" data-language-autonym="Jawa" data-language-local-name="яванский" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A2%E1%83%A0%E1%83%90%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90" title="ტრაპეცია — грузинский" lang="ka" hreflang="ka" data-title="ტრაპეცია" data-language-autonym="ქართული" data-language-local-name="грузинский" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Трапеция — казахский" lang="kk" hreflang="kk" data-title="Трапеция" data-language-autonym="Қазақша" data-language-local-name="казахский" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%85%E1%9E%8F%E1%9E%BB%E1%9E%80%E1%9F%84%E1%9E%8E%E1%9E%96%E1%9F%92%E1%9E%93%E1%9E%B6%E1%9E%99" title="ចតុកោណព្នាយ — кхмерский" lang="km" hreflang="km" data-title="ចតុកោណព្នាយ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="кхмерский" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%82%AC%EB%8B%A4%EB%A6%AC%EA%BC%B4" title="사다리꼴 — корейский" lang="ko" hreflang="ko" data-title="사다리꼴" data-language-autonym="한국어" data-language-local-name="корейский" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Трапеция — киргизский" lang="ky" hreflang="ky" data-title="Трапеция" data-language-autonym="Кыргызча" data-language-local-name="киргизский" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Trapezium" title="Trapezium — латинский" lang="la" hreflang="la" data-title="Trapezium" data-language-autonym="Latina" data-language-local-name="латинский" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Trap%C3%A9se_(geometr%C3%ACa)" title="Trapése (geometrìa) — Lombard" lang="lmo" hreflang="lmo" data-title="Trapése (geometrìa)" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Trapecija" title="Trapecija — литовский" lang="lt" hreflang="lt" data-title="Trapecija" data-language-autonym="Lietuvių" data-language-local-name="литовский" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Trapece" title="Trapece — латышский" lang="lv" hreflang="lv" data-title="Trapece" data-language-autonym="Latviešu" data-language-local-name="латышский" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D0%B9" title="Трапеций — луговомарийский" lang="mhr" hreflang="mhr" data-title="Трапеций" data-language-autonym="Олык марий" data-language-local-name="луговомарийский" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D0%B7" title="Трапез — македонский" lang="mk" hreflang="mk" data-title="Трапез" data-language-autonym="Македонски" data-language-local-name="македонский" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B2%E0%B4%82%E0%B4%AC%E0%B4%95%E0%B4%82" title="ലംബകം — малаялам" lang="ml" hreflang="ml" data-title="ലംബകം" data-language-autonym="മലയാളം" data-language-local-name="малаялам" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86" title="Трапец — монгольский" lang="mn" hreflang="mn" data-title="Трапец" data-language-autonym="Монгол" data-language-local-name="монгольский" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%B2%E0%A4%82%E0%A4%AC_%E0%A4%9A%E0%A5%8C%E0%A4%95%E0%A5%8B%E0%A4%A8" title="समलंब चौकोन — маратхи" lang="mr" hreflang="mr" data-title="समलंब चौकोन" data-language-autonym="मराठी" data-language-local-name="маратхи" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Trapezium" title="Trapezium — малайский" lang="ms" hreflang="ms" data-title="Trapezium" data-language-autonym="Bahasa Melayu" data-language-local-name="малайский" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Trapezium" title="Trapezium — нидерландский" lang="nl" hreflang="nl" data-title="Trapezium" data-language-autonym="Nederlands" data-language-local-name="нидерландский" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Trapes_i_geometri" title="Trapes i geometri — нюнорск" lang="nn" hreflang="nn" data-title="Trapes i geometri" data-language-autonym="Norsk nynorsk" data-language-local-name="нюнорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Trapes_(geometri)" title="Trapes (geometri) — норвежский букмол" lang="nb" hreflang="nb" data-title="Trapes (geometri)" data-language-autonym="Norsk bokmål" data-language-local-name="норвежский букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%9F%E0%AD%8D%E0%AC%B0%E0%AC%BE%E0%AC%AA%E0%AC%BF%E0%AC%9C%E0%AC%BF%E0%AC%85%E0%AC%AE" title="ଟ୍ରାପିଜିଅମ — ория" lang="or" hreflang="or" data-title="ଟ୍ରାପିଜିଅମ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="ория" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A8%AE%E0%A8%B2%E0%A9%B0%E0%A8%AC_%E0%A8%9A%E0%A8%A4%E0%A9%81%E0%A8%B0%E0%A8%AD%E0%A9%81%E0%A8%9C" title="ਸਮਲੰਬ ਚਤੁਰਭੁਜ — панджаби" lang="pa" hreflang="pa" data-title="ਸਮਲੰਬ ਚਤੁਰਭੁਜ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="панджаби" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Trapez" title="Trapez — польский" lang="pl" hreflang="pl" data-title="Trapez" data-language-autonym="Polski" data-language-local-name="польский" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Trapessi" title="Trapessi — Piedmontese" lang="pms" hreflang="pms" data-title="Trapessi" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Trap%C3%A9zio_(geometria)" title="Trapézio (geometria) — португальский" lang="pt" hreflang="pt" data-title="Trapézio (geometria)" data-language-autonym="Português" data-language-local-name="португальский" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Putuq" title="Putuq — кечуа" lang="qu" hreflang="qu" data-title="Putuq" data-language-autonym="Runa Simi" data-language-local-name="кечуа" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Trapez" title="Trapez — румынский" lang="ro" hreflang="ro" data-title="Trapez" data-language-autonym="Română" data-language-local-name="румынский" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Трапеция — русский" lang="ru" hreflang="ru" data-title="Трапеция" data-language-autonym="Русский" data-language-local-name="русский" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-se mw-list-item"><a href="https://se.wikipedia.org/wiki/Trapesa" title="Trapesa — северносаамский" lang="se" hreflang="se" data-title="Trapesa" data-language-autonym="Davvisámegiella" data-language-local-name="северносаамский" class="interlanguage-link-target"><span>Davvisámegiella</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Trapez_(geometrija)" title="Trapez (geometrija) — сербскохорватский" lang="sh" hreflang="sh" data-title="Trapez (geometrija)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="сербскохорватский" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Trapezoid" title="Trapezoid — Simple English" lang="en-simple" hreflang="en-simple" data-title="Trapezoid" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Lichobe%C5%BEn%C3%ADk" title="Lichobežník — словацкий" lang="sk" hreflang="sk" data-title="Lichobežník" data-language-autonym="Slovenčina" data-language-local-name="словацкий" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Trapez" title="Trapez — словенский" lang="sl" hreflang="sl" data-title="Trapez" data-language-autonym="Slovenščina" data-language-local-name="словенский" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Gonyoina_sambambiri" title="Gonyoina sambambiri — шона" lang="sn" hreflang="sn" data-title="Gonyoina sambambiri" data-language-autonym="ChiShona" data-language-local-name="шона" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Koor" title="Koor — сомали" lang="so" hreflang="so" data-title="Koor" data-language-autonym="Soomaaliga" data-language-local-name="сомали" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D0%B7_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0)" title="Трапез (геометрија) — сербский" lang="sr" hreflang="sr" data-title="Трапез (геометрија)" data-language-autonym="Српски / srpski" data-language-local-name="сербский" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Trap%C3%A9sium" title="Trapésium — сунданский" lang="su" hreflang="su" data-title="Trapésium" data-language-autonym="Sunda" data-language-local-name="сунданский" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Parallelltrapets" title="Parallelltrapets — шведский" lang="sv" hreflang="sv" data-title="Parallelltrapets" data-language-autonym="Svenska" data-language-local-name="шведский" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Trapez" title="Trapez — силезский" lang="szl" hreflang="szl" data-title="Trapez" data-language-autonym="Ślůnski" data-language-local-name="силезский" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AE%B0%E0%AE%BF%E0%AE%B5%E0%AE%95%E0%AE%AE%E0%AF%8D" title="சரிவகம் — тамильский" lang="ta" hreflang="ta" data-title="சரிவகம்" data-language-autonym="தமிழ்" data-language-local-name="тамильский" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B0%AE%E0%B0%B2%E0%B0%82%E0%B0%AC_%E0%B0%9A%E0%B0%A4%E0%B1%81%E0%B0%B0%E0%B1%8D%E0%B0%AD%E0%B1%81%E0%B0%9C%E0%B0%82" title="సమలంబ చతుర్భుజం — телугу" lang="te" hreflang="te" data-title="సమలంబ చతుర్భుజం" data-language-autonym="తెలుగు" data-language-local-name="телугу" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B9%E0%B8%9B%E0%B8%AA%E0%B8%B5%E0%B9%88%E0%B9%80%E0%B8%AB%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2%E0%B8%A1%E0%B8%84%E0%B8%B2%E0%B8%87%E0%B8%AB%E0%B8%A1%E0%B8%B9" title="รูปสี่เหลี่ยมคางหมู — тайский" lang="th" hreflang="th" data-title="รูปสี่เหลี่ยมคางหมู" data-language-autonym="ไทย" data-language-local-name="тайский" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Trapesi%C3%BDa" title="Trapesiýa — туркменский" lang="tk" hreflang="tk" data-title="Trapesiýa" data-language-autonym="Türkmençe" data-language-local-name="туркменский" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Trapesoid" title="Trapesoid — тагалог" lang="tl" hreflang="tl" data-title="Trapesoid" data-language-autonym="Tagalog" data-language-local-name="тагалог" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Yamuk" title="Yamuk — турецкий" lang="tr" hreflang="tr" data-title="Yamuk" data-language-autonym="Türkçe" data-language-local-name="турецкий" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D1%96%D1%8F" title="Трапеція — украинский" lang="uk" hreflang="uk" data-title="Трапеція" data-language-autonym="Українська" data-language-local-name="украинский" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B4%DA%A9%D9%84_%D9%85%D9%86%D8%AD%D8%B1%D9%81" title="شکل منحرف — урду" lang="ur" hreflang="ur" data-title="شکل منحرف" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Trapetsiya" title="Trapetsiya — узбекский" lang="uz" hreflang="uz" data-title="Trapetsiya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбекский" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%ACnh_thang" title="Hình thang — вьетнамский" lang="vi" hreflang="vi" data-title="Hình thang" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнамский" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Trapezium" title="Trapezium — West Flemish" lang="vls" hreflang="vls" data-title="Trapezium" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Trapesoyd" title="Trapesoyd — варай" lang="war" hreflang="war" data-title="Trapesoyd" data-language-autonym="Winaray" data-language-local-name="варай" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%A2%AF%E5%BD%A2" title="梯形 — у" lang="wuu" hreflang="wuu" data-title="梯形" data-language-autonym="吴语" data-language-local-name="у" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A2%E1%83%A0%E1%83%90%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90" title="ტრაპეცია — мегрельский" lang="xmf" hreflang="xmf" data-title="ტრაპეცია" data-language-autonym="მარგალური" data-language-local-name="мегрельский" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%98%D7%A8%D7%90%D7%A4%D7%A2%D7%96" title="טראפעז — идиш" lang="yi" hreflang="yi" data-title="טראפעז" data-language-autonym="ייִדיש" data-language-local-name="идиш" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%A2%AF%E5%BD%A2" title="梯形 — китайский" lang="zh" hreflang="zh" data-title="梯形" data-language-autonym="中文" data-language-local-name="китайский" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%A2%AF%E5%BD%A2" title="梯形 — кантонский" lang="yue" hreflang="yue" data-title="梯形" data-language-autonym="粵語" data-language-local-name="кантонский" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q46303#sitelinks-wikipedia" title="Башҡа телдәргә һылтанмаларҙы төҙәтеү" class="wbc-editpage">Һылтанмаларҙы төҙәтергә</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Исем арауыҡтары"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Эстәлек битен ҡарау [c]" accesskey="c"><span>Бит</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/%D0%A4%D0%B5%D0%BA%D0%B5%D1%80%D0%BB%D3%99%D1%88%D0%B5%D2%AF:%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" rel="discussion" title="Биттең эстәлеге тураһында фекерләшеү [t]" accesskey="t"><span>Фекер алышыу</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown 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data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Ҡоралдар</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">ҡабырға панеленә күсерергә</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">йәшерергә</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Күберәк мөмкинлектәр" > <div class="vector-menu-heading"> Ғәмәлдәр </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F"><span>Уҡыу</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit" title="Был битте үҙгәртеү [v]" accesskey="v"><span>Үҙгәртеү</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit" title="Биттең сығанаҡ кодын үҙгәртеү [e]" accesskey="e"><span>Кодты үҙгәртеү</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=history"><span>Тарих</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Дөйөм </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%91%D1%8B%D0%BD%D0%B4%D0%B0_%D2%BB%D1%8B%D0%BB%D1%82%D0%B0%D0%BD%D0%BC%D0%B0%D0%BB%D0%B0%D1%80/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Был биткә һылтанған барлыҡ биттәрҙең исемлеге [j]" accesskey="j"><span>Был биткә һылтанмалар</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%91%D3%99%D0%B9%D0%BB%D0%B5_%D2%AF%D2%99%D0%B3%D3%99%D1%80%D1%82%D0%B5%D2%AF%D2%99%D3%99%D1%80/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" rel="nofollow" title="Был бит һылтанған биттәрҙәге һуңғы үҙгәртеүҙәр [k]" accesskey="k"><span>Бәйле үҙгәртеүҙәр</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81_%D0%B1%D0%B8%D1%82%D1%82%D3%99%D1%80" title="Барлыҡ махсус биттәр исемлеге [q]" accesskey="q"><span>Махсус биттәр</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&oldid=1185961" title="Биттең был өлгөһөнә даими һылтанма"><span>Даими һылтанма</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=info" title="Был бит тураһында ентекләберәк"><span>Бит мәғлүмәттәре</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%A6%D0%B8%D1%82%D0%B0%D1%82%D0%B0&page=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&id=1185961&wpFormIdentifier=titleform" title="Был биттән нисек өҙөмтә яһау тураһында мәғлүмәт"><span>Биттән өҙөмтә яһарға</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:UrlShortener&url=https%3A%2F%2Fba.wikipedia.org%2Fwiki%2F%25D0%25A2%25D1%2580%25D0%25B0%25D0%25BF%25D0%25B5%25D1%2586%25D0%25B8%25D1%258F"><span>Ҡыҫҡа URL алыу</span></a></li><li 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йөкләү</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&printable=yes" title="Биттең ҡағыҙға баҫтырыу өсөн өлгөһө [p]" accesskey="p"><span>Баҫтырыу өлгөһө</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Башҡа проекттарҙа </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Trapezoids" hreflang="en"><span>Викимилек</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q46303" title="Мәғлүмәт һаҡлағысына бәйле элементҡа һылтанма [g]" accesskey="g"><span>Викимәғлүмәт элементы</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Ҡоралдар"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Уҡыу көйләүҙәре"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Уҡыу көйләүҙәре</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">ҡабырға панеленә күсерергә</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">йәшерергә</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Википедия — ирекле энциклопедия мәғлүмәте</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ba" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r1278674">.mw-parser-output .ts-Универсальная_карточка{width:23em}.mw-parser-output .ts-Универсальная_карточка-above{background:var(--background-color-neutral,#eaecf0);font-weight:bold;font-size:120%;text-align:center}.mw-parser-output .ts-Универсальная_карточка-original,.mw-parser-output .ts-Универсальная_карточка-image{text-align:center}.mw-parser-output .ts-Универсальная_карточка-label{width:9em;background:var(--background-color-neutral,#eaecf0);text-align:left;padding-left:.4em;padding-right:.4em}.mw-parser-output .ts-Универсальная_карточка-split{vertical-align:middle;text-align:center}.mw-parser-output .ts-Универсальная_карточка-below{background:var(--background-color-neutral,#eaecf0);text-align:center}.mw-parser-output .ts-Универсальная_карточка-error{background:var(--background-color-destructive-subtle,#ffe9e5);border:1px solid var(--border-color-error,#9f3526);text-align:center}</style> <table cellspacing="2" class="infobox ts-Универсальная_карточка"> <tbody><tr><td colspan="2" class="infobox-above ts-Универсальная_карточка-above">Трапеция</td></tr> <tr><td colspan="2" class="infobox-image ts-Универсальная_карточка-image"><span data-wikidata-claim-id="Q46303$c6091f90-4465-11c0-c2e1-be76d9ae817a" class="wikidata-claim" data-wikidata-property-id="P18"><span class="wikidata-snak wikidata-main-snak"><span typeof="mw:File/Frameless"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Trapezoid_special_cases.svg" class="mw-file-description"><img alt="Рәсем" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Trapezoid_special_cases.svg/274px-Trapezoid_special_cases.svg.png" decoding="async" width="274" height="237" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Trapezoid_special_cases.svg/411px-Trapezoid_special_cases.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/46/Trapezoid_special_cases.svg/548px-Trapezoid_special_cases.svg.png 2x" data-file-width="849" data-file-height="734" /></a></span></span></span></td></tr> <tr><th class="infobox-label ts-Универсальная_карточка-label">Ҡайҙа өйрәнелә</th><td class="infobox-text"> <span data-wikidata-claim-id="Q46303$D7B401AD-0B6E-447D-93CD-1583D8A1120F" class="wikidata-claim" data-wikidata-property-id="P2579"><span class="wikidata-snak wikidata-main-snak"><a href="/wiki/%D0%93%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Геометрия">геометрия</a></span></span></td></tr> <tr><th class="infobox-label ts-Универсальная_карточка-label"><a href="https://www.wikidata.org/wiki/Property:P1312" class="extiw" title="d:Property:P1312">Грань политопа</a></th><td class="infobox-text"> <span data-wikidata-claim-id="Q46303$D5CB539D-E92E-4E60-B39D-0820E7CF1B4B" class="wikidata-claim" data-wikidata-property-id="P1312"><span class="wikidata-snak wikidata-main-snak"><span class="iw" data-title="ҡабырға">ҡабырға<sup class="plainlinks noprint"><a class="external text" href="https://www.wikidata.org/wiki/Q26382?uselang=ba">[d]</a></sup></span></span></span></td></tr> <tr><th class="infobox-label ts-Универсальная_карточка-label">Вики-проект</th><td class="infobox-text"> <span data-wikidata-claim-id="Q46303$6D75A41B-BCBB-4F1A-A063-4A2610BCF3ED" class="wikidata-claim" data-wikidata-property-id="P6104"><span class="wikidata-snak wikidata-main-snak"><span class="plainlinks"><a class="external text" href="https://ru.wikipedia.org/w/index.php?title=%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82%3A%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0&action=edit&editintro=T:Нет_статьи/editintro&preload=T:Нет_статьи/preload&preloadparams%5B%5D=Q8487137&preloadparams%5B%5D=%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82%3A%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0&preloadparams%5B%5D=Универсальная+карточка"><span style="color:var(--color-link-red, #d73333); text-decoration:inherit; text-decoration-color:var(--color-link-red, #d73333);">Проект:Математика</span></a></span><sup><a href="https://www.wikidata.org/wiki/Q8487137" class="extiw" title="d:Q8487137">[d]</a></sup></span></span></td></tr> <tr><td colspan="2" class="infobox-below ts-Универсальная_карточка-below"><span data-wikidata-claim-id="Q46303$A97EFD71-0D8F-4D80-B8F8-C05869BED68E" class="wikidata-claim" data-wikidata-property-id="P373"><span class="wikidata-snak wikidata-main-snak"><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/Category:Trapezoids" title="commons:Category:Trapezoids"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> <a href="https://commons.wikimedia.org/wiki/Category:Trapezoids" class="extiw" title="commons:Category:Trapezoids">Трапеция Викимилектә</a></span></span></td></tr> </tbody></table> <div class="dablink noprint">Был терминдың башҡа мәғәнәләре лә бар, ҡарағыҙ: <a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_(%D0%BC%D3%99%D2%93%D3%99%D0%BD%D3%99%D0%BB%D3%99%D1%80)&action=edit&redlink=1" class="new" title="Трапеция (мәғәнәләр) (был бит юҡ)">Трапеция (мәғәнәләр)</a>.</div> <figure class="mw-default-size mw-halign-right" typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Trapezoid.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Trapezoid.svg/292px-Trapezoid.svg.png" decoding="async" width="292" height="172" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Trapezoid.svg/438px-Trapezoid.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/11/Trapezoid.svg/584px-Trapezoid.svg.png 2x" data-file-width="292" data-file-height="172" /></a><figcaption></figcaption></figure> <p><b>Трапе́ция</b> (<a href="/w/index.php?title=%D0%91%D0%BE%D1%80%D0%BE%D0%BD%D2%93%D0%BE_%D0%B3%D1%80%D0%B5%D0%BA_%D1%82%D0%B5%D0%BB%D0%B5&action=edit&redlink=1" class="new" title="Боронғо грек теле (был бит юҡ)">бор. грек.</a> <i><span lang="grc">τραπέζιον</span></i> — «<i>бәләкәй өҫтәл</i>» һүҙенән <span lang="grc"><span style="font-family: palatino linotype, new athena unicode, athena, gentium, code2000, serif; font-size: 105%;">τράπεζα</span></span> — «<i>өҫтәл</i>» һүҙенән ) — ике яғы <a href="/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%BB%D0%BB%D0%B5%D0%BB%D0%BB%D0%B5%D0%BA" title="Параллеллек">параллель</a> булған <a href="/w/index.php?title=%D2%A0%D0%B0%D0%B1%D0%B0%D1%80%D1%8B%D0%BD%D2%A1%D1%8B_%D0%BA%D2%AF%D0%BF%D0%BC%D3%A9%D0%B9%D3%A9%D1%88&action=edit&redlink=1" class="new" title="Ҡабарынҡы күпмөйөш (был бит юҡ)">ҡабарынҡы</a> <a href="/wiki/%D0%94%D2%AF%D1%80%D1%82%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Дүртмөйөш">дүртмөйөш</a>. Йыш ҡына трапеция билдәләмәһендә ҡалған ике яғы параллель булмаҫҡа тейеш тигән шарт өҫтәйҙәр<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>. Параллель булған ҡапма-ҡаршы яҡтары трапецияның нигеҙҙәре тип аталалар, ә ҡалған ике яғы — эргә яҡтары тип атала. Урта һыҙығы — эргә яҡтарының урталарын тоташтырған киҫек. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Билдәләмәнең_төрҙәре"><span id=".D0.91.D0.B8.D0.BB.D0.B4.D3.99.D0.BB.D3.99.D0.BC.D3.99.D0.BD.D0.B5.D2.A3_.D1.82.D3.A9.D1.80.D2.99.D3.99.D1.80.D0.B5"></span>Билдәләмәнең төрҙәре</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=1" title="Билдәләмәнең төрҙәре бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=1" title="Билдәләмәнең төрҙәре бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Трапецияның икенсе билдәләмәһе лә бар. </p><p>Трапеция — ике яғы параллель булған ҡабарынҡы дүртмөйөш<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>. Был билдәләмәгә ярашлы, <a href="/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%BB%D0%BB%D0%B5%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC" title="Параллелограмм">параллелограмм</a> һәм <a href="/wiki/%D0%A2%D1%83%D1%80%D0%B0_%D0%B4%D2%AF%D1%80%D1%82%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Тура дүртмөйөш">тура дүртмөйөш</a> — трапецияның айырым осраҡтары. Түбәндә килтерелгән формулалар трапецияның ике билдәләмәһе өсөн дә дөрөҫ. </p> <div class="mw-heading mw-heading2"><h2 id="Бәйләнгән_билдәләмәләр"><span id=".D0.91.D3.99.D0.B9.D0.BB.D3.99.D0.BD.D0.B3.D3.99.D0.BD_.D0.B1.D0.B8.D0.BB.D0.B4.D3.99.D0.BB.D3.99.D0.BC.D3.99.D0.BB.D3.99.D1.80"></span>Бәйләнгән билдәләмәләр</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=2" title="Бәйләнгән билдәләмәләр бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=2" title="Бәйләнгән билдәләмәләр бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Трапецияның_элементтары"><span id=".D0.A2.D1.80.D0.B0.D0.BF.D0.B5.D1.86.D0.B8.D1.8F.D0.BD.D1.8B.D2.A3_.D1.8D.D0.BB.D0.B5.D0.BC.D0.B5.D0.BD.D1.82.D1.82.D0.B0.D1.80.D1.8B"></span>Трапецияның элементтары</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=3" title="Трапецияның элементтары бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=3" title="Трапецияның элементтары бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_%D0%B8_%D0%B4%D0%B8%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%B8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_%D0%B8_%D0%B4%D0%B8%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%B8.png/300px-%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_%D0%B8_%D0%B4%D0%B8%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%B8.png" decoding="async" width="300" height="260" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_%D0%B8_%D0%B4%D0%B8%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%B8.png/450px-%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_%D0%B8_%D0%B4%D0%B8%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%B8.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_%D0%B8_%D0%B4%D0%B8%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%B8.png/600px-%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F_%D0%B8_%D0%B4%D0%B8%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%B8.png 2x" data-file-width="936" data-file-height="811" /></a><figcaption>Трапецияның диагоналдәре киҫешкән нөктә, уның эргә яҡтарының дауамы киҫешкән нөктә һәм нигеҙҙәренең урталары бер тура һыҙыҡта яталар</figcaption></figure> <ul><li>Параллель булған ҡапма-ҡаршы яҡтары трапецияның <b>нигеҙҙәре</b> тип аталалар.</li> <li>Ҡалған ике яғы трапецияның <b>эргә яҡтары</b> тип аталалар.</li> <li>Трапецияның эргә яҡтарының урталарын тоташтырған киҫек трапецияның <b><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F%D0%BD%D1%8B%D2%A3_%D1%83%D1%80%D1%82%D0%B0_%D2%BB%D1%8B%D2%99%D1%8B%D2%93%D1%8B&action=edit&redlink=1" class="new" title="Трапецияның урта һыҙығы (был бит юҡ)">урта һыҙығы</a></b> тип атала.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Трапецияның_төрҙәре"><span id=".D0.A2.D1.80.D0.B0.D0.BF.D0.B5.D1.86.D0.B8.D1.8F.D0.BD.D1.8B.D2.A3_.D1.82.D3.A9.D1.80.D2.99.D3.99.D1.80.D0.B5"></span>Трапецияның төрҙәре</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=4" title="Трапецияның төрҙәре бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=4" title="Трапецияның төрҙәре бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Эргә яҡтары тигеҙ булған трапеция <b>тигеҙ эргәле</b> трапеция тип атала (һирәгерәк <b>тигеҙ ҡабырғалы</b><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> или <b>равнобочной</b><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> трапецией).</li> <li>Эргә яғы эргәһендәге мөйөштәре <a href="/w/index.php?title=%D0%A2%D1%83%D1%80%D0%B0_%D0%BC%D3%A9%D0%B9%D3%A9%D1%88&action=edit&redlink=1" class="new" title="Тура мөйөш (был бит юҡ)">тура</a> булған трапеция <b>тура мөйөшлө</b> трапеция тип атала.</li></ul> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Trapezoid2_1.png" class="mw-file-description" title="Тигеҙ эргәле трапеция"><img alt="Тигеҙ эргәле трапеция" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Trapezoid2_1.png/120px-Trapezoid2_1.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Trapezoid2_1.png/180px-Trapezoid2_1.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/00/Trapezoid2_1.png/240px-Trapezoid2_1.png 2x" data-file-width="567" data-file-height="567" /></a></span></div> <div class="gallerytext">Тигеҙ эргәле трапеция</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Trapezoid1.png" class="mw-file-description" title="Тура мөйөшлө трапеция"><img alt="Тура мөйөшлө трапеция" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/Trapezoid1.png/120px-Trapezoid1.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/Trapezoid1.png/180px-Trapezoid1.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/49/Trapezoid1.png/240px-Trapezoid1.png 2x" data-file-width="567" data-file-height="567" /></a></span></div> <div class="gallerytext">Тура мөйөшлө трапеция</div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="Уртаҡ_үҙсәнлектәре"><span id=".D0.A3.D1.80.D1.82.D0.B0.D2.A1_.D2.AF.D2.99.D1.81.D3.99.D0.BD.D0.BB.D0.B5.D0.BA.D1.82.D3.99.D1.80.D0.B5"></span>Уртаҡ үҙсәнлектәре</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=5" title="Уртаҡ үҙсәнлектәре бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=5" title="Уртаҡ үҙсәнлектәре бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="dablink">Төп сығанаҡ: <sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </div> <ul><li>Трапецияның урта һыҙығы нигеҙҙәренә параллель һәм уларҙың ярымсуммаһына тигеҙ.</li> <li>Диагоналдәренең уртаһын тоташтырған киҫек нигеҙҙәренең ярым айырмаһына тигеҙ һәм урта һыҙыҡта ята.</li> <li>(Дөйөмләштерелгән <a href="/w/index.php?title=%D0%A4%D0%B0%D0%BB%D0%B5%D1%81_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D2%BB%D1%8B&action=edit&redlink=1" class="new" title="Фалес теоремаһы (был бит юҡ)">Фалес теоремаһы</a>). <a href="/wiki/%D0%9C%D3%A9%D0%B9%D3%A9%D1%88" title="Мөйөш">Мөйөштөң</a> яҡтарын киҫеүсе параллель тура һыҙыҡтар мөйөштөң яҡтарынан пропорциональ киҫектәр киҫеп алалар.</li> <li>Әгәр трапецияның нигеҙҙәре оҙонлоҡтары суммаһы уның эргә яҡтарының оҙонлоҡтары суммаһына тигеҙ булһа, был трапецияға әйләнә ҡамарға мөмкин.</li> <li>Трапеция диагоналдәренең киҫешеү нөктәһе аша үткән һәм нигеҙҙәренә параллель булған киҫек был нөктә менән урталай бүленә һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {2xy}{x+y}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>x</mi> <mi>y</mi> </mrow> <mrow> <mi>x</mi> <mo>+</mo> <mi>y</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {2xy}{x+y}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e5dbc5af3c4a751e58daf8da940c695a054a042c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:6.162ex; height:5.843ex;" alt="{\displaystyle {\frac {2xy}{x+y}}}"></span> трапеция нигеҙҙәре оҙонлоҡтарының <a href="/w/index.php?title=%D0%93%D0%B0%D1%80%D0%BC%D0%BE%D0%BD%D0%B8%D0%BA_%D1%83%D1%80%D1%82%D0%B0&action=edit&redlink=1" class="new" title="Гармоник урта (был бит юҡ)">гармоник уртаһына</a> тигеҙ (Бураков формулаһы).</li> <li>Трапецияның диагоналдәре киҫешкән нөктә, уның эргә яҡтарының дауамы киҫешкән нөктә һәм нигеҙҙәренең урталары бер тура һыҙыҡта яталар.</li> <li>Әгәр трапецияның теләһә ҡайһы нигеҙе эргәһендәге мөйөштәренең суммаһы 90°-ҡа тигеҙ булһа, нигеҙҙәренең урталарын тоташтырған киҫек уларҙың <a href="https://ba.wiktionary.org/wiki/%D1%8F%D1%80%D1%8B%D0%BC_%D0%B0%D0%B9%D1%8B%D1%80%D0%BC%D0%B0" class="extiw" title="wikt:ярым айырма">ярым айырмаһына</a> тигеҙ.</li> <li>Трапецияның диагоналдәре киҫешкәндә нигеҙҙәрендә ятҡан өсмөйөштәр <a href="/w/index.php?title=%D3%A8%D1%81%D0%BC%D3%A9%D0%B9%D3%A9%D1%88%D1%82%D3%99%D1%80_%D0%BE%D2%A1%D1%88%D0%B0%D1%88%D0%BB%D1%8B%D2%93%D1%8B&action=edit&redlink=1" class="new" title="Өсмөйөштәр оҡшашлығы (был бит юҡ)">оҡшаштар</a>.</li> <li>Эргә яҡтарында ятҡан өсмөйөштәр тигеҙ ҙурлыҡта.</li> <li>Әгәр нигеҙҙәренең сағыштырмаһы <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b76fce82a62ed5461908f0dc8f037de4e3686b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.066ex; height:2.176ex;" alt="{\displaystyle K}"></span>-ға тигеҙ булһа, ул саҡта нигеҙҙәрендә ятҡан өсмөйөштәрҙең майҙандары сағыштырмаһы <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>K</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f123baef27cc7331ccc361c0c4a18c2faedfa011" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.148ex; height:2.676ex;" alt="{\displaystyle K^{2}}"></span> тигеҙ.</li> <li>Трапецияның бейеклеге түбәндәге формула менән билдәләнә:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h={\sqrt {c^{2}-{\frac {1}{4}}\left({\frac {c^{2}-d^{2}}{b-a}}+b-a\right)^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <msup> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mi>b</mi> <mo>−</mo> <mi>a</mi> </mrow> </mfrac> </mrow> <mo>+</mo> <mi>b</mi> <mo>−</mo> <mi>a</mi> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h={\sqrt {c^{2}-{\frac {1}{4}}\left({\frac {c^{2}-d^{2}}{b-a}}+b-a\right)^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c46c2f1585efcd4e942af71f35df11fd5902460b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:34.055ex; height:7.676ex;" alt="{\displaystyle h={\sqrt {c^{2}-{\frac {1}{4}}\left({\frac {c^{2}-d^{2}}{b-a}}+b-a\right)^{2}}}}"></span></dd></dl></dd> <dd>бында <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — ҙур нигеҙе, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — бәләкәй нигеҙе, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> — эргә яҡтары.</dd></dl> <ul><li>Трапецияның диагоналдәре <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4cccb5a6a2f1acab4ca255e0be86c224ed82282a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.263ex; height:2.509ex;" alt="{\displaystyle d_{1}}"></span> һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9276f8f68c5c23329de74ad76e69f6801358fb1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.263ex; height:2.509ex;" alt="{\displaystyle d_{2}}"></span> яҡтары менән түбәндәге нисбәт менән бәйләнгән:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{1}^{2}+d_{2}^{2}=2ab+c^{2}+d^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>=</mo> <mn>2</mn> <mi>a</mi> <mi>b</mi> <mo>+</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{1}^{2}+d_{2}^{2}=2ab+c^{2}+d^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ba893f9b1d28e3db73ed5964db091c0a713a375" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:23.888ex; height:3.343ex;" alt="{\displaystyle d_{1}^{2}+d_{2}^{2}=2ab+c^{2}+d^{2}}"></span></dd></dl></dd> <dd>Уларҙы асыҡ итеп күрһәтергә була: <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{1}=AC={\sqrt {ab+d^{2}+{\frac {b(c^{2}-d^{2})}{b-a}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mi>A</mi> <mi>C</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>a</mi> <mi>b</mi> <mo>+</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>b</mi> <mo stretchy="false">(</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>b</mi> <mo>−</mo> <mi>a</mi> </mrow> </mfrac> </mrow> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{1}=AC={\sqrt {ab+d^{2}+{\frac {b(c^{2}-d^{2})}{b-a}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c0447daa40184972ee8c4b5319b28e3a952f57e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:35.291ex; height:7.676ex;" alt="{\displaystyle d_{1}=AC={\sqrt {ab+d^{2}+{\frac {b(c^{2}-d^{2})}{b-a}}}}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{2}=BD={\sqrt {ab+c^{2}-{\frac {b(c^{2}-d^{2})}{b-a}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>B</mi> <mi>D</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>a</mi> <mi>b</mi> <mo>+</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>b</mi> <mo stretchy="false">(</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>b</mi> <mo>−</mo> <mi>a</mi> </mrow> </mfrac> </mrow> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{2}=BD={\sqrt {ab+c^{2}-{\frac {b(c^{2}-d^{2})}{b-a}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1e212dbbefdf12eda423bd9ef1f77c8f6e4d392a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:35.258ex; height:7.676ex;" alt="{\displaystyle d_{2}=BD={\sqrt {ab+c^{2}-{\frac {b(c^{2}-d^{2})}{b-a}}}}}"></span></dd></dl></dd> <dd>Әгәр, киреһенсә, эргә яҡтары һәм диагоналдәре билдәле булһа, ул саҡта нигеҙҙәре түбәндәге формулалар менән күрһәтеләләр: <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a={\sqrt {\frac {(c^{2}-d_{1}^{2})^{2}-(d^{2}-d_{2}^{2})^{2}}{2(c^{2}-d^{2}+d_{1}^{2}-d_{2}^{2})}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mo stretchy="false">(</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mo stretchy="false">(</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>−</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo stretchy="false">)</mo> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a={\sqrt {\frac {(c^{2}-d_{1}^{2})^{2}-(d^{2}-d_{2}^{2})^{2}}{2(c^{2}-d^{2}+d_{1}^{2}-d_{2}^{2})}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f9d45e059927969185b56f016ef606974d8db17" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:30.745ex; height:7.509ex;" alt="{\displaystyle a={\sqrt {\frac {(c^{2}-d_{1}^{2})^{2}-(d^{2}-d_{2}^{2})^{2}}{2(c^{2}-d^{2}+d_{1}^{2}-d_{2}^{2})}}}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b={\sqrt {\frac {(c^{2}-d_{2}^{2})^{2}-(d^{2}-d_{1}^{2})^{2}}{2(c^{2}-d^{2}-d_{1}^{2}+d_{2}^{2})}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mo stretchy="false">(</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mo stretchy="false">(</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo stretchy="false">)</mo> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b={\sqrt {\frac {(c^{2}-d_{2}^{2})^{2}-(d^{2}-d_{1}^{2})^{2}}{2(c^{2}-d^{2}-d_{1}^{2}+d_{2}^{2})}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f52790b523014e9549e823cf17276dd8a1a9f2da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:30.512ex; height:7.509ex;" alt="{\displaystyle b={\sqrt {\frac {(c^{2}-d_{2}^{2})^{2}-(d^{2}-d_{1}^{2})^{2}}{2(c^{2}-d^{2}-d_{1}^{2}+d_{2}^{2})}}}}"></span></dd> <dd>ә билдәле нигеҙҙәре һәм диагоналдәре аша эргә яҡтары түбәндәгесә:</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c={\sqrt {\frac {a(d_{2}^{2}-b^{2})+b(d_{1}^{2}-a^{2})}{a+b}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>+</mo> <mi>b</mi> <mo stretchy="false">(</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>−</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c={\sqrt {\frac {a(d_{2}^{2}-b^{2})+b(d_{1}^{2}-a^{2})}{a+b}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/482e8b76c9c1848b5ebc4de24fe890233a1a9c60" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:30.513ex; height:7.676ex;" alt="{\displaystyle c={\sqrt {\frac {a(d_{2}^{2}-b^{2})+b(d_{1}^{2}-a^{2})}{a+b}}}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d={\sqrt {\frac {a(d_{1}^{2}-b^{2})+b(d_{2}^{2}-a^{2})}{a+b}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>+</mo> <mi>b</mi> <mo stretchy="false">(</mo> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>−</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d={\sqrt {\frac {a(d_{1}^{2}-b^{2})+b(d_{2}^{2}-a^{2})}{a+b}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fbeeca7caf775a0bd8c53c31d7f4e94b989595d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:30.722ex; height:7.676ex;" alt="{\displaystyle d={\sqrt {\frac {a(d_{1}^{2}-b^{2})+b(d_{2}^{2}-a^{2})}{a+b}}}}"></span></dd></dl></dd> <dd>Әгәр бейеклеге <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> билдәле булһа, ул саҡта <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{1}={\sqrt {b^{2}+d^{2}-2b{\sqrt {d^{2}-h^{2}}}}}={\sqrt {h^{2}+\left(b-{\sqrt {d^{2}-h^{2}}}\right)^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mn>2</mn> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mrow> <mi>b</mi> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{1}={\sqrt {b^{2}+d^{2}-2b{\sqrt {d^{2}-h^{2}}}}}={\sqrt {h^{2}+\left(b-{\sqrt {d^{2}-h^{2}}}\right)^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b75c2cbc851f8428740bb887fc4449d493360884" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:57.833ex; height:6.343ex;" alt="{\displaystyle d_{1}={\sqrt {b^{2}+d^{2}-2b{\sqrt {d^{2}-h^{2}}}}}={\sqrt {h^{2}+\left(b-{\sqrt {d^{2}-h^{2}}}\right)^{2}}}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{2}={\sqrt {b^{2}+c^{2}-2b{\sqrt {c^{2}-h^{2}}}}}={\sqrt {h^{2}+\left(b-{\sqrt {c^{2}-h^{2}}}\right)^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mn>2</mn> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mrow> <mi>b</mi> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{2}={\sqrt {b^{2}+c^{2}-2b{\sqrt {c^{2}-h^{2}}}}}={\sqrt {h^{2}+\left(b-{\sqrt {c^{2}-h^{2}}}\right)^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da947b299004cf21ea6d77536ef17eb6a6855475" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:57.199ex; height:6.343ex;" alt="{\displaystyle d_{2}={\sqrt {b^{2}+c^{2}-2b{\sqrt {c^{2}-h^{2}}}}}={\sqrt {h^{2}+\left(b-{\sqrt {c^{2}-h^{2}}}\right)^{2}}}}"></span></dd></dl></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Тигеҙ_эргәле_трапецияның_үҙсәнлектәре_һәм_билдәләре"><span id=".D0.A2.D0.B8.D0.B3.D0.B5.D2.99_.D1.8D.D1.80.D0.B3.D3.99.D0.BB.D0.B5_.D1.82.D1.80.D0.B0.D0.BF.D0.B5.D1.86.D0.B8.D1.8F.D0.BD.D1.8B.D2.A3_.D2.AF.D2.99.D1.81.D3.99.D0.BD.D0.BB.D0.B5.D0.BA.D1.82.D3.99.D1.80.D0.B5_.D2.BB.D3.99.D0.BC_.D0.B1.D0.B8.D0.BB.D0.B4.D3.99.D0.BB.D3.99.D1.80.D0.B5"></span>Тигеҙ эргәле трапецияның үҙсәнлектәре һәм билдәләре</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=6" title="Тигеҙ эргәле трапецияның үҙсәнлектәре һәм билдәләре бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=6" title="Тигеҙ эргәле трапецияның үҙсәнлектәре һәм билдәләре бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Трапеция тигеҙ эргәле була шул саҡта һәм тик шул саҡта ғына, әгәр түбәндәге эквивалентлы шарттарҙың теләһә ҡайһыһы үтәлһә: </p> <ul><li>нигеҙҙәренең уртаһы аша үткән тура һыҙыҡ нигеҙҙәренә перпендикуляр (йәғни трапецияның симметрия күсәре булып тора);</li> <li>түбәһенән ҙур нигеҙенә төшөрөлгән бейеклек уны, береһе нигеҙҙәренең ярым суммаһына, икенсеһе — нигеҙҙәренең ярым айырмаһына тигеҙ булған киҫектәргә бүләй;</li> <li>теләһә ҡайһы нигеҙе эргәһендәге мөйөштәре тигеҙ;</li> <li>ҡапма-ҡаршы мөйөштәренең суммаһы 180°-ҡа тигеҙ;</li> <li>диагоналдәренең оҙонлоҡтары тигеҙ;</li> <li>бындай трапецияны әйләнә менән ҡамарға мөмкин;</li> <li>был трапецияның түбәләре булып шулай уҡ ниндәйҙер <a href="/w/index.php?title=%D0%90%D0%BD%D1%82%D0%B8%D0%BF%D0%B0%D1%80%D0%B0%D0%BB%D0%BB%D0%B5%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC&action=edit&redlink=1" class="new" title="Антипараллелограмм (был бит юҡ)">антипараллелограммдың</a> түбәләре тора.</li></ul> <p>Бынан тыш </p> <ul><li>әгәр тигеҙ эргәле трапецияла диагоналдәр перпендикуляр булһа, ул саҡта бейеклек нигеҙҙәренең ярым суммаһына тигеҙ.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Ҡамалған_һәм_ҡамаусы_әйләнә"><span id=".D2.A0.D0.B0.D0.BC.D0.B0.D0.BB.D2.93.D0.B0.D0.BD_.D2.BB.D3.99.D0.BC_.D2.A1.D0.B0.D0.BC.D0.B0.D1.83.D1.81.D1.8B_.D3.99.D0.B9.D0.BB.D3.99.D0.BD.D3.99"></span>Ҡамалған һәм ҡамаусы әйләнә</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=7" title="Ҡамалған һәм ҡамаусы әйләнә бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=7" title="Ҡамалған һәм ҡамаусы әйләнә бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><figure class="noresize" typeof="mw:File"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A1%D1%8B%D2%93%D0%B0%D0%BD%D0%B0%D2%A1%D1%82%D0%B0%D1%80%D2%93%D0%B0_%D2%BB%D1%8B%D0%BB%D1%82%D0%B0%D0%BD%D0%BC%D0%B0%D0%BB%D0%B0%D1%80" title="Сығанаҡтарға һылтанмалар"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/48px-Question_book-4.svg.png" decoding="async" width="48" height="37" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/72px-Question_book-4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/96px-Question_book-4.svg.png 2x" data-file-width="262" data-file-height="204" /></a><figcaption></figcaption></figure></div></td><td class="mbox-text"><div class="mbox-text-div"><b>В этом разделе мәғлүмәт <a href="/w/index.php?title=%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D2%BA%D1%8B%D0%BB%D1%82%D0%B0%D0%BD%D0%BC%D0%B0%D0%BB%D0%B0%D1%80_%D0%B5%D1%82%D0%BC%D3%99%D0%B9&action=edit&redlink=1" class="new" title="Википедия:Һылтанмалар етмәй (был бит юҡ)">сығанаҡтарына һылтанмалар етмәй</a>.</b></div><div class="mbox-textsmall-div hide-when-compact" style="font-size:85%">Мәғлүмәт <a href="/w/index.php?title=%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A2%D0%B8%D0%BA%D1%88%D0%B5%D1%80%D0%B5%D0%BB%D0%B5%D1%80%D0%B3%D3%99&action=edit&redlink=1" class="new" title="Википедия:Тикшерелергә (был бит юҡ)">тикшерелергә тейеш</a>, юғиһә ул шик аҫтына ҡуйылырға һәм <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%91%D0%B8%D1%82%D1%82%D3%99%D1%80%D2%99%D0%B5_%D1%8E%D0%B9%D1%8B%D1%83" title="Википедия:Биттәрҙе юйыу">юйылырға</a> мөмкин.<br />Һеҙ был мәҡәләне <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%90%D0%B1%D1%80%D1%83%D0%B9%D0%BB%D1%8B_%D1%81%D1%8B%D2%93%D0%B0%D0%BD%D0%B0%D2%A1%D1%82%D0%B0%D1%80" title="Википедия:Абруйлы сығанаҡтар">абруйлы сығанаҡтарға</a> һылтанмалар өҫтәп <a class="external text" href="https://ba.wikipedia.org/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit">мөхәррирләй</a> алаһығыҙ. <br />Был билдә билдәләнгән <b>6 июля 2015</b>.</div></td></tr></tbody></table><p>[[Категория:Википедия:Сығанаҡтарға һылтанмалары булмаған мәҡәләләр <strong class="error">Хата: ваҡыт дөрөҫ түгел</strong>]] </p><ul><li>Әгәр трапецияның нигеҙҙәре суммаһы эргә яҡтарының суммаһына тигеҙ булһа, ул саҡта был трапецияға <a href="/wiki/%D3%98%D0%B9%D0%BB%D3%99%D0%BD%D3%99" title="Әйләнә">әйләнә</a> <a href="/w/index.php?title=%D2%A0%D0%B0%D0%BC%D0%B0%D0%BB%D2%93%D0%B0%D0%BD_%D3%99%D0%B9%D0%BB%D3%99%D0%BD%D3%99&action=edit&redlink=1" class="new" title="Ҡамалған әйләнә (был бит юҡ)">ҡамарға</a> мөмкин. Был осраҡта урта һыҙыҡ эргә яҡтарының ярым суммаһына тигеҙ (сөнки трапецияның урта һыҙығы нигеҙҙәренең ярым суммаһына тигеҙ).</li> <li>Трапецияла уның эргә яғы ҡамалған әйләнәнең үҙәгенән 90° мөйөш аҫтында күренә.</li> <li>Әгәр трапеция тигеҙ эргәле булһа, уның тирәләй <a href="/wiki/%D3%98%D0%B9%D0%BB%D3%99%D0%BD%D3%99" title="Әйләнә">әйләнә</a> <a href="/w/index.php?title=%D2%A0%D0%B0%D0%BC%D0%B0%D1%83%D1%81%D1%8B_%D3%99%D0%B9%D0%BB%D3%99%D0%BD%D3%99&action=edit&redlink=1" class="new" title="Ҡамаусы әйләнә (был бит юҡ)">ҡамарға</a> мөмкин.</li> <li>Тигеҙ эргәле трапецияны ҡамаусы әйләнәнең радиусы:<span class="noprint"><sup><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A1%D1%8B%D2%93%D0%B0%D0%BD%D0%B0%D2%A1%D1%82%D0%B0%D1%80%D2%93%D0%B0_%D2%BB%D1%8B%D0%BB%D1%82%D0%B0%D0%BD%D0%BC%D0%B0%D0%BB%D0%B0%D1%80" title="Википедия:Сығанаҡтарға һылтанмалар">[<i>сығанаҡ 3429  көн күрһәтелмәгән</i>]</a></sup></span></li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R={\frac {bcd_{1}}{4{\sqrt {p(p-b)(p-c)(p-d_{1})}}}}={\sqrt {\frac {ab+c^{2}}{4-\left({\frac {b-a}{c}}\right)^{2}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>b</mi> <mi>c</mi> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>p</mi> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> </msqrt> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mi>a</mi> <mi>b</mi> <mo>+</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>4</mn> <mo>−</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>b</mi> <mo>−</mo> <mi>a</mi> </mrow> <mi>c</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R={\frac {bcd_{1}}{4{\sqrt {p(p-b)(p-c)(p-d_{1})}}}}={\sqrt {\frac {ab+c^{2}}{4-\left({\frac {b-a}{c}}\right)^{2}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/63913ee1a43796e1f22ecac01e6b04507fd5d7f9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.005ex; width:49.99ex; height:9.343ex;" alt="{\displaystyle R={\frac {bcd_{1}}{4{\sqrt {p(p-b)(p-c)(p-d_{1})}}}}={\sqrt {\frac {ab+c^{2}}{4-\left({\frac {b-a}{c}}\right)^{2}}}}}"></span></dd></dl></dd> <dd>бында <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p={\frac {1}{2}}(b+c+d_{1})\,,\,c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo>+</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mo>,</mo> <mspace width="thinmathspace" /> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p={\frac {1}{2}}(b+c+d_{1})\,,\,c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/80dae81974509833e172bcb8bf97f59750b63778" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; margin-left: -0.089ex; width:20.929ex; height:5.176ex;" alt="{\displaystyle p={\frac {1}{2}}(b+c+d_{1})\,,\,c}"></span> — эргә яҡ, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — ҙур нигеҙе, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — бәләкәй нигеҙе, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d_{1}=d_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d_{1}=d_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70d6765423ac7ea2f8f6d2b02c44869adde879f2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.625ex; height:2.509ex;" alt="{\displaystyle d_{1}=d_{2}}"></span> — тигеҙ эргәле трапецияның диагоналдәре.</dd></dl> <ul><li>Әгәр <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a+b=2c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>=</mo> <mn>2</mn> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+b=2c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/457422695a2c9ff602a95524deb489ba11c93034" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.336ex; height:2.343ex;" alt="{\displaystyle a+b=2c}"></span> булһа, ул саҡта тигеҙ эргәле трапецияға радиусы</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {h}{2}}={\frac {\sqrt {ab}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mi>a</mi> <mi>b</mi> </msqrt> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {h}{2}}={\frac {\sqrt {ab}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83a193797f0bb095355522197742fe1737c67e69" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:14.42ex; height:5.843ex;" alt="{\displaystyle r={\frac {h}{2}}={\frac {\sqrt {ab}}{2}}}"></span> булған әйләнә ҡамарға мөмкин.</dd></dl></dd></dl> <ul><li>Әгәр трапецияға радиусы <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> булған <a href="/wiki/%D3%98%D0%B9%D0%BB%D3%99%D0%BD%D3%99" title="Әйләнә">әйләнә</a> <a href="/w/index.php?title=%D2%A0%D0%B0%D0%BC%D0%B0%D0%BB%D2%93%D0%B0%D0%BD_%D3%99%D0%B9%D0%BB%D3%99%D0%BD%D3%99&action=edit&redlink=1" class="new" title="Ҡамалған әйләнә (был бит юҡ)">ҡамалһа</a>, һәм ул тейеү нөктәләре менән эргә яҡтарын ике киҫеккә — <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle w}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>w</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle w}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88b1e0c8e1be5ebe69d18a8010676fa42d7961e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.664ex; height:1.676ex;" alt="{\displaystyle w}"></span> бүлһә — ул саҡта <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\sqrt {vw}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>v</mi> <mi>w</mi> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\sqrt {vw}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da76df0baa0bb3321542d5bfbec287319c07fa12" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:8.875ex; height:3.009ex;" alt="{\displaystyle r={\sqrt {vw}}}"></span>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Майҙан"><span id=".D0.9C.D0.B0.D0.B9.D2.99.D0.B0.D0.BD"></span>Майҙан</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=8" title="Майҙан бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=8" title="Майҙан бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><i>Бында тап трапецияға хас булған формулалар килтерелгән. Шулай уҡ ҡара: <a href="/wiki/%D0%94%D2%AF%D1%80%D1%82%D0%BC%D3%A9%D0%B9%D3%A9%D1%88#Майҙан" title="Дүртмөйөш">ирекле дүртмөйөштәрҙең майҙандары</a> өсөн формулалар.</i></dd></dl> <ul><li>Әгәр <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — нигеҙҙәре һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> — бейеклек булһа, <a href="/w/index.php?title=%D0%A4%D0%B8%D0%B3%D1%83%D1%80%D0%B0%D0%BD%D1%8B%D2%A3_%D0%BC%D0%B0%D0%B9%D2%99%D0%B0%D0%BD%D1%8B&action=edit&redlink=1" class="new" title="Фигураның майҙаны (был бит юҡ)">майҙан</a> формулаһы:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S={\frac {(a+b)}{2}}h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> </mrow> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S={\frac {(a+b)}{2}}h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32d68f6c901814c6c6d697ef75e3933a3e01e678" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.65ex; height:5.676ex;" alt="{\displaystyle S={\frac {(a+b)}{2}}h}"></span></dd></dl></dd></dl> <ul><li>Әгәр <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span> — урта һыҙыҡ һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> — бейеклек булһа, <a href="/w/index.php?title=%D0%A4%D0%B8%D0%B3%D1%83%D1%80%D0%B0%D0%BD%D1%8B%D2%A3_%D0%BC%D0%B0%D0%B9%D2%99%D0%B0%D0%BD%D1%8B&action=edit&redlink=1" class="new" title="Фигураның майҙаны (был бит юҡ)">майҙан</a> формулаһы:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S=\displaystyle mh}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mi>h</mi> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\displaystyle mh}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a5b8786799c88ad9f86d8ebe8a7462c2a1d0796" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.977ex; height:2.176ex;" alt="{\displaystyle S=\displaystyle mh}"></span></dd></dl></dd></dl> <p><i>Иҫкәрмә:</i> Юғарыла килтерелгән ике формула эквивалентлы, сөнки нигеҙҙәренең ярым суммаһы трапецияның урта һыҙығына тигеҙ: </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m={\frac {(a+b)}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m={\frac {(a+b)}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3131e3e95500ee6fd4852947b876a68df7f6892" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:12.852ex; height:5.676ex;" alt="{\displaystyle m={\frac {(a+b)}{2}}}"></span></dd></dl></dd></dl> <ul><li>Формула, бында <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a<b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo><</mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a<b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91a7698e4c7401bb321f97888b872b583a9e4642" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a<b}"></span> — трапецияның нигеҙҙәре, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> һәм <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> — эргә яҡтары:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S={\frac {a+b}{4(b-a)}}{\sqrt {(a+c+d-b)(a+d-b-c)(a+c-b-d)(b+c+d-a)}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> <mrow> <mn>4</mn> <mo stretchy="false">(</mo> <mi>b</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>c</mi> <mo>+</mo> <mi>d</mi> <mo>−</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>d</mi> <mo>−</mo> <mi>b</mi> <mo>−</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>c</mi> <mo>−</mo> <mi>b</mi> <mo>−</mo> <mi>d</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo>+</mo> <mi>d</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S={\frac {a+b}{4(b-a)}}{\sqrt {(a+c+d-b)(a+d-b-c)(a+c-b-d)(b+c+d-a)}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e862a1832847ffdd87176ce5b907b9dd52b1a80" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:75.566ex; height:6.176ex;" alt="{\displaystyle S={\frac {a+b}{4(b-a)}}{\sqrt {(a+c+d-b)(a+d-b-c)(a+c-b-d)(b+c+d-a)}}.}"></span></dd></dl></dd> <dd>йәки <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S={\frac {a+b}{2}}{\sqrt {c^{2}-{\frac {1}{4}}\left({\frac {c^{2}-d^{2}}{b-a}}+b-a\right)^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <msup> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mi>b</mi> <mo>−</mo> <mi>a</mi> </mrow> </mfrac> </mrow> <mo>+</mo> <mi>b</mi> <mo>−</mo> <mi>a</mi> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S={\frac {a+b}{2}}{\sqrt {c^{2}-{\frac {1}{4}}\left({\frac {c^{2}-d^{2}}{b-a}}+b-a\right)^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c6a691f1cfcb6fdc53ebe7bd5fa9b001f9531747" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:40.119ex; height:7.676ex;" alt="{\displaystyle S={\frac {a+b}{2}}{\sqrt {c^{2}-{\frac {1}{4}}\left({\frac {c^{2}-d^{2}}{b-a}}+b-a\right)^{2}}}}"></span></dd></dl></dd></dl> <ul><li>Урта һыҙыҡ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span> фигураны, майҙандары сағыштырмаһы<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup></li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {S_{1}}{S_{2}}}={\frac {3a+b}{a+3b}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> <mrow> <mi>a</mi> <mo>+</mo> <mn>3</mn> <mi>b</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {S_{1}}{S_{2}}}={\frac {3a+b}{a+3b}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c9d70b7d21625acac71ebd2541f9e86af6498c3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:13.48ex; height:5.843ex;" alt="{\displaystyle {\frac {S_{1}}{S_{2}}}={\frac {3a+b}{a+3b}}}"></span> кеүек булған ике трапецияға бүлә</dd></dl></dd></dl> <ul><li>Ҡамаусы әйләнәнең радиусы <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> һәм нигеҙе эргәһендәге мөйөшө <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> булған тигеҙ эргәле трапецияның майҙаны:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S={\frac {4r^{2}}{\sin {\alpha }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>4</mn> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mi>sin</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>α</mi> </mrow> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S={\frac {4r^{2}}{\sin {\alpha }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a52a147d08d0a9959bb59924b152a6f61f4f49b4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.164ex; height:5.676ex;" alt="{\displaystyle S={\frac {4r^{2}}{\sin {\alpha }}}}"></span></dd></dl></dd></dl> <ul><li>Тигеҙ эргәле трапецияның майҙаны:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S=(b-c\cos {\gamma })c\sin {\gamma }=(a+c\cos {\gamma })c\sin {\gamma }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>−</mo> <mi>c</mi> <mi>cos</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>γ</mi> </mrow> <mo stretchy="false">)</mo> <mi>c</mi> <mi>sin</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>γ</mi> </mrow> <mo>=</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>c</mi> <mi>cos</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>γ</mi> </mrow> <mo stretchy="false">)</mo> <mi>c</mi> <mi>sin</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>γ</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=(b-c\cos {\gamma })c\sin {\gamma }=(a+c\cos {\gamma })c\sin {\gamma }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/05f3bbdd6d492e334053b4fa1b95d8f90195f000" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:43.33ex; height:2.843ex;" alt="{\displaystyle S=(b-c\cos {\gamma })c\sin {\gamma }=(a+c\cos {\gamma })c\sin {\gamma }}"></span></dd></dl></dd> <dd>бында <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> — эргә яғы, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — ҙур нигеҙе, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — бәләкәй нигеҙе, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \gamma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>γ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span> — ҙур нигеҙе менәнэргә яғы араһындағы мөйөш<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup>.</dd></dl> <ul><li>Тигеҙ эргәле трапецияның майҙаны уның яҡтары аша</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S={\frac {a+b}{2}}{\sqrt {c^{2}-{\frac {1}{4}}(b-a)^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>b</mi> <mo>−</mo> <mi>a</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S={\frac {a+b}{2}}{\sqrt {c^{2}-{\frac {1}{4}}(b-a)^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4171484d45c2ccdd8f4c63ae49bad19184540fb2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:27.657ex; height:6.176ex;" alt="{\displaystyle S={\frac {a+b}{2}}{\sqrt {c^{2}-{\frac {1}{4}}(b-a)^{2}}}}"></span></dd></dl></dd></dl> <table class="metadata plainlinks navigation-box ruwikiWikimediaNavigation" style="margin:0 0 1em 1em; clear:right; border:solid var(--border-color-base, #a2a9b1) 1px; background:var(--background-color-neutral-subtle, #f8f9fa); color:inherit; padding:1ex; font-size:90%; float:right;"> <tbody><tr> <th><span typeof="mw:File"><a href="https://ba.wiktionary.org/wiki/%D1%82%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="wikt:трапеция"><img alt="wikt:" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Wiktionary-logo-ru.png/20px-Wiktionary-logo-ru.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Wiktionary-logo-ru.png/30px-Wiktionary-logo-ru.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Wiktionary-logo-ru.png/40px-Wiktionary-logo-ru.png 2x" data-file-width="135" data-file-height="135" /></a></span> </th> <td><span class="wikidict-ref"><a href="https://ba.wiktionary.org/wiki/%D1%82%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" class="extiw" title="wikt:трапеция">трапеция</a></span> Викиһүҙлектә </td></tr> <tr> <th><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/Category:Trapezoids" title="commons:Category:Trapezoids"><img alt="commons:" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/20px-Commons-logo.svg.png" decoding="async" width="20" height="27" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> </th> <td><span class="wikicommons-ref"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Trapezoids?uselang=ru">Трапеция</a></span> Викимилектә </td></tr> </tbody></table> <div class="mw-heading mw-heading2"><h2 id="Иҫкәрмәләр"><span id=".D0.98.D2.AB.D0.BA.D3.99.D1.80.D0.BC.D3.99.D0.BB.D3.99.D1.80"></span>Иҫкәрмәләр</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=9" title="Иҫкәрмәләр бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=9" title="Иҫкәрмәләр бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style=""> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation no-wikidata" data-wikidata-property-id="P1343">Математический энциклопедический словарь. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: <a href="/w/index.php?title=%D0%A1%D0%BE%D0%B2%D0%B5%D1%82%D1%81%D0%BA%D0%B0%D1%8F_%D1%8D%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F_(%D0%B8%D0%B7%D0%B4%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D1%81%D1%82%D0%B2%D0%BE)&action=edit&redlink=1" class="new" title="Советская энциклопедия (издательство) (был бит юҡ)">Советская энциклопедия</a>, 1988. — С. 587.</span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.bymath.net/studyguide/geo/sec/geo8.htm">Вся элементарная математика</a> <small><span style="white-space: nowrap;"> 2015 йыл 9 июль <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150709034559/http://www.bymath.net/studyguide/geo/sec/geo8.htm">архивланған</a>.</span></small></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Trapezoid.html">Wolfram MathWorld</a></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><span class="citation no-wikidata" data-wikidata-property-id="P1343"><i>Коллектив авторов.</i> <a rel="nofollow" class="external text" href="https://books.google.com/books?id=YRmFAQAAQBAJ">Современный справочник школьника. 5-11 классы. Все предметы</a>. — Litres, 2015-09-03. — С. 82. — 482 с. — <a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%9A%D0%B8%D1%82%D0%B0%D0%BF_%D1%81%D1%8B%D2%93%D0%B0%D0%BD%D0%B0%D2%A1%D1%82%D0%B0%D1%80%D1%8B/9785457410022" class="internal mw-magiclink-isbn">ISBN 9785457410022</a>.</span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><span class="citation no-wikidata" data-wikidata-property-id="P1343"><i>М. И. Сканави.</i> <a rel="nofollow" class="external text" href="https://books.google.com/books?id=6EX6AgAAQBAJ&pg=PA437">Элементарная математика</a>. — 2013. — С. 437. — 611 с. — <a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%9A%D0%B8%D1%82%D0%B0%D0%BF_%D1%81%D1%8B%D2%93%D0%B0%D0%BD%D0%B0%D2%A1%D1%82%D0%B0%D1%80%D1%8B/9785458254489" class="internal mw-magiclink-isbn">ISBN 9785458254489</a>.</span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><span class="citation no-wikidata" data-wikidata-property-id="P1343"><a rel="nofollow" class="external text" href="http://math4school.ru/chetyrehugolniki.html">Четырёхугольники</a>.</span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><a href="#cite_ref-7">↑</a></span> <span class="reference-text">Сканави М.И. <a rel="nofollow" class="external text" href="http://edu.sernam.ru/book_el_math.php?id=196">202. Площадь трапеции</a> <small><span style="white-space: nowrap;"> 2017 йыл 12 август <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170812065730/http://edu.sernam.ru/book_el_math.php?id=196">архивланған</a>.</span></small> // Элементарная математика. 2-е изд., перераб. и доп., М.: 1974г. - 592с.</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><a href="#cite_ref-8">↑</a></span> <span class="reference-text">Бронштейн И. Н., Семендяев К. А. Справочник по математике для инженеров и учащихся втузов 1986. С. 184</span> </li> </ol> </div> <div class="mw-heading mw-heading5"><h5 id="Исем"><span id=".D0.98.D1.81.D0.B5.D0.BC"></span>Исем</h5><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&veaction=edit&section=10" title="Исем бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&section=10" title="Исем бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div><p> <onlyinclude></p><div role="navigation" class="navbox" aria-labelledby="Күпмөйөштәр" data-name="[[Күпмөйөштәр]]"><table class="nowraplinks collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="colgroup" class="navbox-title" colspan="2"><span class="navbox-gear" style="float:left;text-align:left;width:5em;margin-right:0.5em"><span class="noprint plainlinks nowrap" style="font-size:85%;"><span typeof="mw:File"><a href="/wiki/%D2%A0%D0%B0%D0%BB%D1%8B%D0%BF:%D0%9A%D2%AF%D0%BF%D0%BC%D3%A9%D0%B9%D3%A9%D1%88%D1%82%D3%99%D1%80" title="Ҡалыпты ҡарау"><img alt="⚙️" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Wikipedia_interwiki_section_gear_icon.svg/14px-Wikipedia_interwiki_section_gear_icon.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Wikipedia_interwiki_section_gear_icon.svg/21px-Wikipedia_interwiki_section_gear_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Wikipedia_interwiki_section_gear_icon.svg/28px-Wikipedia_interwiki_section_gear_icon.svg.png 2x" data-file-width="14" data-file-height="14" /></a></span> </span></span><div id="Күпмөйөштәр" style="font-size:114%;margin:0 5em"><a href="/wiki/%D0%9A%D2%AF%D0%BF%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Күпмөйөш">Күпмөйөштәр</a></div></th></tr><tr><td class="navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%D3%A8%D1%81%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Өсмөйөш">Өсмөйөш</a> · <a href="/wiki/%D0%94%D2%AF%D1%80%D1%82%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Дүртмөйөш">Дүртмөйөш</a> · <a href="/wiki/%D0%91%D0%B8%D1%88%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Бишмөйөш">Бишмөйөш</a> · <a href="/wiki/%D0%90%D0%BB%D1%82%D1%8B%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Алтымөйөш">Алтымөйөш</a> · <a href="/wiki/%D0%95%D1%82%D0%B5%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Етемөйөш">Етемөйөш</a> · <a href="/wiki/%D2%BA%D0%B8%D0%B3%D0%B5%D2%99%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Һигеҙмөйөш">Һигеҙмөйөш</a> · <a href="/wiki/%D0%A2%D1%83%D2%93%D1%8B%D2%99%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Туғыҙмөйөш">Туғыҙмөйөш</a> · <a href="/wiki/%D0%A3%D0%BD%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Унмөйөш">Унмөйөш</a> · <a href="/w/index.php?title=Hendecagon&action=edit&redlink=1" class="new" title="Hendecagon (был бит юҡ)">Hendecagon</a> · <a href="/w/index.php?title=Dodecagon&action=edit&redlink=1" class="new" title="Dodecagon (был бит юҡ)">Dodecagon</a> · <a href="/w/index.php?title=Tridecagon&action=edit&redlink=1" class="new" title="Tridecagon (был бит юҡ)">Tridecagon</a> · <a href="/w/index.php?title=Tetradecagon&action=edit&redlink=1" class="new" title="Tetradecagon (был бит юҡ)">Tetradecagon</a> · <a href="/w/index.php?title=Pentadecagon&action=edit&redlink=1" class="new" title="Pentadecagon (был бит юҡ)">Pentadecagon</a> · <a href="/w/index.php?title=Hexadecagon&action=edit&redlink=1" class="new" title="Hexadecagon (был бит юҡ)">Hexadecagon</a> · <a href="/w/index.php?title=Heptadecagon&action=edit&redlink=1" class="new" title="Heptadecagon (был бит юҡ)">Heptadecagon</a> · <a href="/w/index.php?title=Octadecagon&action=edit&redlink=1" class="new" title="Octadecagon (был бит юҡ)">Octadecagon</a> · <a href="/w/index.php?title=Enneadecagon&action=edit&redlink=1" class="new" title="Enneadecagon (был бит юҡ)">Enneadecagon</a> · <a href="/w/index.php?title=%D0%95%D0%B3%D0%B5%D1%80%D0%BC%D0%B5%D0%BC%D3%A9%D0%B9%D3%A9%D1%88&action=edit&redlink=1" class="new" title="Егермемөйөш (был бит юҡ)">Егермемөйөш</a></div></td></tr></tbody></table></div><p><onlyinclude></p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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