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[o]" accesskey="o" class=""><span>Кіру</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="Басқа баптаулар" > <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="Жеке құралдар" > <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">Жеке құралдар</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Қатысушы мәзірі" > <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/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=kk.wikipedia.org&uselang=kk"><span>Демеу беру</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%90%D1%80%D0%BD%D0%B0%D0%B9%D1%8B:%D0%96%D0%B0%D2%A3%D0%B0_%D1%82%D1%96%D1%80%D0%BA%D0%B5%D0%BB%D0%B3%D1%96&returnto=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Біз сізге есептік жазба бастауды және кіруді ұсынамыз,ол міндетті емес."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Тіркелу</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%90%D1%80%D0%BD%D0%B0%D0%B9%D1%8B:%D2%9A%D0%B0%D1%82%D1%8B%D1%81%D1%83%D1%88%D1%8B_%D0%BA%D1%96%D1%80%D1%83%D1%96&returnto=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Кіруіңізді ұсынамыз, ол міндетті емес. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Кіру</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"> Шыққан өңдеушілерге арналған беттер <a href="/wiki/%D0%96%D3%99%D1%80%D0%B4%D0%B5%D0%BC:%D0%A2%D0%B0%D0%BD%D1%8B%D1%81%D1%82%D1%8B%D1%80%D1%83" aria-label="Өңдеу туралы көбірек білу"><span>көбірек білу</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%90%D1%80%D0%BD%D0%B0%D0%B9%D1%8B:%D2%AE%D0%BB%D0%B5%D1%81%D1%96%D0%BC" title="Бұл IP мекенжаймен жасаған өңдемелер тізімі [y]" accesskey="y"><span>Үлесім</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%90%D1%80%D0%BD%D0%B0%D0%B9%D1%8B:%D0%A2%D0%B0%D0%BB%D2%9B%D1%8B%D0%BB%D0%B0%D1%83%D1%8B%D0%BC" title="Бұл IP мекенжай өңдемелерін талқылау [n]" accesskey="n"><span>Талқылау</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\"\u003Eжабу\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=\"kk\" dir=\"ltr\"\u003E\u003Cdiv style=\"width: 100% ! 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Үшбұрыштар теңдігінің белгілері</span> </div> </a> <ul id="toc-Т.3._Үшбұрыштар_теңдігінің_белгілері-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Т.4.Тікбұрышты_үшбұрыштардың_теңдігінің_белгілері" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Т.4.Тікбұрышты_үшбұрыштардың_теңдігінің_белгілері"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.5</span> <span>Т.4.Тікбұрышты үшбұрыштардың теңдігінің белгілері</span> </div> </a> <ul id="toc-Т.4.Тікбұрышты_үшбұрыштардың_теңдігінің_белгілері-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Косинустар_және_синустар_теоремасы" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Косинустар_және_синустар_теоремасы"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Косинустар және синустар теоремасы</span> </div> </a> <ul id="toc-Косинустар_және_синустар_теоремасы-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Үшбұрыштың_негізгі_сызықтары:_биіктігі,_медиана,_биссектриса,_орта_перпендикуляр,_орта_сызық" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Үшбұрыштың_негізгі_сызықтары:_биіктігі,_медиана,_биссектриса,_орта_перпендикуляр,_орта_сызық"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Үшбұрыштың негізгі сызықтары: биіктігі, медиана, биссектриса, орта перпендикуляр, орта сызық</span> </div> </a> <button aria-controls="toc-Үшбұрыштың_негізгі_сызықтары:_биіктігі,_медиана,_биссектриса,_орта_перпендикуляр,_орта_сызық-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>Үшбұрыштың негізгі сызықтары: биіктігі, медиана, биссектриса, орта перпендикуляр, орта сызық суббөлімін көрсету/жасыру</span> </button> <ul id="toc-Үшбұрыштың_негізгі_сызықтары:_биіктігі,_медиана,_биссектриса,_орта_перпендикуляр,_орта_сызық-sublist" class="vector-toc-list"> <li id="toc-Т.5._Төрт_тамаша_нүкте" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Т.5._Төрт_тамаша_нүкте"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Т.5. Төрт тамаша нүкте</span> </div> </a> <ul id="toc-Т.5._Төрт_тамаша_нүкте-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Үшбұрыштың_ауданын_есептеу" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Үшбұрыштың_ауданын_есептеу"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Үшбұрыштың ауданын есептеу</span> </div> </a> <button aria-controls="toc-Үшбұрыштың_ауданын_есептеу-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>Үшбұрыштың ауданын есептеу суббөлімін көрсету/жасыру</span> </button> <ul id="toc-Үшбұрыштың_ауданын_есептеу-sublist" class="vector-toc-list"> <li id="toc-Координаттарды_қолдану_тәсілі_арқылы" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Координаттарды_қолдану_тәсілі_арқылы"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Координаттарды қолдану тәсілі арқылы</span> </div> </a> <ul id="toc-Координаттарды_қолдану_тәсілі_арқылы-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Дереккөздер" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Дереккөздер"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Дереккөздер</span> </div> </a> <ul id="toc-Дереккөздер-sublist" class="vector-toc-list"> </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="Мазмұны" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Мазмұны" > <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="Мазмұнды көрсету/жасыру" > <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">Мазмұнды көрсету/жасыру</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">Үшбұрыш</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="Басқа тілдегі мақалаға өту. 162 тілде қолжетімді" > <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-162" 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">162 тіл</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ab mw-list-item"><a href="https://ab.wikipedia.org/wiki/%D0%90%D1%85%D0%BA%D3%99%D0%B0%D0%BA%D1%8C" title="Ахкәакь – абхаз тілі" lang="ab" hreflang="ab" data-title="Ахкәакь" data-language-autonym="Аԥсшәа" data-language-local-name="абхаз тілі" class="interlanguage-link-target"><span>Аԥсшәа</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Driehoek" title="Driehoek – африкаанс тілі" lang="af" hreflang="af" data-title="Driehoek" data-language-autonym="Afrikaans" data-language-local-name="африкаанс тілі" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Dreieck" title="Dreieck – неміс тілі (Швейцария)" lang="gsw" hreflang="gsw" data-title="Dreieck" data-language-autonym="Alemannisch" data-language-local-name="неміс тілі (Швейцария)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%B6%E1%88%B5%E1%89%B5_%E1%88%9B%E1%8A%A5%E1%8B%98%E1%8A%95" title="ሶስት ማእዘን – амхар тілі" lang="am" hreflang="am" data-title="ሶስት ማእዘን" data-language-autonym="አማርኛ" data-language-local-name="амхар тілі" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Trianglo" title="Trianglo – арагон тілі" lang="an" hreflang="an" data-title="Trianglo" data-language-autonym="Aragonés" data-language-local-name="арагон тілі" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/%C3%9Er%C4%ABecge" title="Þrīecge – Old English" lang="ang" hreflang="ang" data-title="Þrīecge" data-language-autonym="Ænglisc" data-language-local-name="Old English" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%AB%D9%84%D8%AB" title="مثلث – араб тілі" lang="ar" hreflang="ar" data-title="مثلث" data-language-autonym="العربية" data-language-local-name="араб тілі" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/%DC%A1%DC%AC%DC%A0%DC%AC%DC%90" title="ܡܬܠܬܐ – Aramaic" lang="arc" hreflang="arc" data-title="ܡܬܠܬܐ" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="Aramaic" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%85%D8%AA%D9%84%D8%AA" title="متلت – Moroccan Arabic" lang="ary" hreflang="ary" data-title="متلت" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%85%D8%AB%D9%84%D8%AB" title="مثلث – Egyptian Arabic" lang="arz" hreflang="arz" data-title="مثلث" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%A4%E0%A7%8D%E0%A7%B0%E0%A6%BF%E0%A6%AD%E0%A7%81%E0%A6%9C" title="ত্ৰিভুজ – ассам тілі" lang="as" hreflang="as" data-title="ত্ৰিভুজ" data-language-autonym="অসমীয়া" data-language-local-name="ассам тілі" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Tri%C3%A1ngulu" title="Triángulu – астурия тілі" lang="ast" hreflang="ast" data-title="Triángulu" data-language-autonym="Asturianu" data-language-local-name="астурия тілі" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Mujina" title="Mujina – аймара тілі" lang="ay" hreflang="ay" data-title="Mujina" data-language-autonym="Aymar aru" data-language-local-name="аймара тілі" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C3%9C%C3%A7bucaq" title="Üçbucaq – әзірбайжан тілі" lang="az" hreflang="az" data-title="Üçbucaq" data-language-autonym="Azərbaycanca" data-language-local-name="әзірбайжан тілі" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A7%D9%88%DA%86%E2%80%8C%D8%A8%D9%88%D8%AC%D8%A7%D9%82" title="اوچ‌بوجاق – South Azerbaijani" lang="azb" hreflang="azb" data-title="اوچ‌بوجاق" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D3%A8%D1%81%D0%BC%D3%A9%D0%B9%D3%A9%D1%88" title="Өсмөйөш – башқұрт тілі" lang="ba" hreflang="ba" data-title="Өсмөйөш" data-language-autonym="Башҡортса" data-language-local-name="башқұрт тілі" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Dreieck" title="Dreieck – Bavarian" lang="bar" hreflang="bar" data-title="Dreieck" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Tr%C4%97kompis" title="Trėkompis – Samogitian" lang="sgs" hreflang="sgs" data-title="Trėkompis" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Trianggulo" title="Trianggulo – Central Bikol" lang="bcl" hreflang="bcl" data-title="Trianggulo" 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%BE%D1%85%D0%B2%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D1%96%D0%BA" title="Трохвугольнік – беларусь тілі" lang="be" hreflang="be" data-title="Трохвугольнік" data-language-autonym="Беларуская" data-language-local-name="беларусь тілі" 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%D1%8B%D0%BA%D1%83%D1%82%D0%BD%D1%96%D0%BA" title="Трыкутнік – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Трыкутнік" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" 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%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%B8%D0%BA" title="Триъгълник – болгар тілі" lang="bg" hreflang="bg" data-title="Триъгълник" data-language-autonym="Български" data-language-local-name="болгар тілі" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%81%E0%A4%9C" title="त्रिभुज – Bhojpuri" lang="bh" hreflang="bh" data-title="त्रिभुज" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%BF%E0%A6%AD%E0%A7%81%E0%A6%9C" title="ত্রিভুজ – бенгал тілі" lang="bn" hreflang="bn" data-title="ত্রিভুজ" data-language-autonym="বাংলা" data-language-local-name="бенгал тілі" 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%BD%9F%E0%BD%B4%E0%BD%A2%E0%BC%8B%E0%BD%82%E0%BD%A6%E0%BD%B4%E0%BD%98%E0%BC%8B%E0%BD%91%E0%BD%96%E0%BD%96%E0%BE%B1%E0%BD%B2%E0%BC%8D" title="སཟུར་གསུམ་དབབྱི། – тибет тілі" lang="bo" hreflang="bo" data-title="སཟུར་གསུམ་དབབྱི།" data-language-autonym="བོད་ཡིག" data-language-local-name="тибет тілі" 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/Tric%27horn" title="Tric'horn – бретон тілі" lang="br" hreflang="br" data-title="Tric'horn" data-language-autonym="Brezhoneg" data-language-local-name="бретон тілі" 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/Trougao" title="Trougao – босния тілі" lang="bs" hreflang="bs" data-title="Trougao" data-language-autonym="Bosanski" data-language-local-name="босния тілі" 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/Triangle" title="Triangle – каталан тілі" lang="ca" hreflang="ca" data-title="Triangle" data-language-autonym="Català" data-language-local-name="каталан тілі" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/S%C4%83ng-g%C3%A1e%CC%A4k-h%C3%ACng" title="Săng-gáe̤k-hìng – Mindong" lang="cdo" hreflang="cdo" data-title="Săng-gáe̤k-hìng" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-chr mw-list-item"><a href="https://chr.wikipedia.org/wiki/%E1%8F%A6%E1%8E%A2_%E1%8F%A7%E1%8F%85%E1%8F%8F%E1%8F%AF_%E1%8E%A4%E1%8F%83%E1%8F%B4%E1%8E%A9" title="ᏦᎢ ᏧᏅᏏᏯ ᎤᏃᏴᎩ – чероки тілі" lang="chr" hreflang="chr" data-title="ᏦᎢ ᏧᏅᏏᏯ ᎤᏃᏴᎩ" data-language-autonym="ᏣᎳᎩ" data-language-local-name="чероки тілі" class="interlanguage-link-target"><span>ᏣᎳᎩ</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B3%DB%8E%DA%AF%DB%86%D8%B4%DB%95" title="سێگۆشە – сорани тілі" lang="ckb" hreflang="ckb" data-title="سێگۆشە" data-language-autonym="کوردی" data-language-local-name="сорани тілі" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Triangulu" title="Triangulu – корсика тілі" lang="co" hreflang="co" data-title="Triangulu" data-language-autonym="Corsu" data-language-local-name="корсика тілі" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Troj%C3%BAheln%C3%ADk" title="Trojúhelník – чех тілі" lang="cs" hreflang="cs" data-title="Trojúhelník" data-language-autonym="Čeština" data-language-local-name="чех тілі" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-csb mw-list-item"><a href="https://csb.wikipedia.org/wiki/Trz%C3%ABn%C3%B3rt" title="Trzënórt – Kashubian" lang="csb" hreflang="csb" data-title="Trzënórt" data-language-autonym="Kaszëbsczi" data-language-local-name="Kashubian" class="interlanguage-link-target"><span>Kaszëbsczi</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%92%D0%B8%C3%A7%D0%BA%C4%95%D1%82%D0%B5%D1%81%D0%BB%C4%95%D1%85" title="Виçкĕтеслĕх – чуваш тілі" lang="cv" hreflang="cv" data-title="Виçкĕтеслĕх" data-language-autonym="Чӑвашла" data-language-local-name="чуваш тілі" 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/Triongl" title="Triongl – валлий тілі" lang="cy" hreflang="cy" data-title="Triongl" data-language-autonym="Cymraeg" data-language-local-name="валлий тілі" 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/Trekant" title="Trekant – дат тілі" lang="da" hreflang="da" data-title="Trekant" data-language-autonym="Dansk" data-language-local-name="дат тілі" 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/Dreieck" title="Dreieck – неміс тілі" lang="de" hreflang="de" data-title="Dreieck" data-language-autonym="Deutsch" data-language-local-name="неміс тілі" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Hir%C3%AAk%C4%B1nari" title="Hirêkınari – Dimli" lang="diq" hreflang="diq" data-title="Hirêkınari" data-language-autonym="Zazaki" data-language-local-name="Dimli" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/T%C5%9Biro%C5%BEk" title="Tśirožk – төменгі лужица тілі" lang="dsb" hreflang="dsb" data-title="Tśirožk" data-language-autonym="Dolnoserbski" data-language-local-name="төменгі лужица тілі" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CF%81%CE%AF%CE%B3%CF%89%CE%BD%CE%BF" title="Τρίγωνο – грек тілі" lang="el" hreflang="el" data-title="Τρίγωνο" data-language-autonym="Ελληνικά" data-language-local-name="грек тілі" 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/Triangle" title="Triangle – ағылшын тілі" lang="en" hreflang="en" data-title="Triangle" data-language-autonym="English" data-language-local-name="ағылшын тілі" 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/Triangulo" title="Triangulo – эсперанто тілі" lang="eo" hreflang="eo" data-title="Triangulo" data-language-autonym="Esperanto" data-language-local-name="эсперанто тілі" 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/Tri%C3%A1ngulo" title="Triángulo – испан тілі" lang="es" hreflang="es" data-title="Triángulo" data-language-autonym="Español" data-language-local-name="испан тілі" 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/Kolmnurk" title="Kolmnurk – эстон тілі" lang="et" hreflang="et" data-title="Kolmnurk" data-language-autonym="Eesti" data-language-local-name="эстон тілі" 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/Triangelu" title="Triangelu – баск тілі" lang="eu" hreflang="eu" data-title="Triangelu" data-language-autonym="Euskara" data-language-local-name="баск тілі" 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/%D9%85%D8%AB%D9%84%D8%AB" title="مثلث – парсы тілі" lang="fa" hreflang="fa" data-title="مثلث" data-language-autonym="فارسی" data-language-local-name="парсы тілі" 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/Kolmio" title="Kolmio – фин тілі" lang="fi" hreflang="fi" data-title="Kolmio" data-language-autonym="Suomi" data-language-local-name="фин тілі" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Kolmnukk" title="Kolmnukk – Võro" lang="vro" hreflang="vro" data-title="Kolmnukk" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Tututolu" title="Tututolu – фиджи тілі" lang="fj" hreflang="fj" data-title="Tututolu" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="фиджи тілі" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Tr%C3%ADkantur" title="Tríkantur – фарер тілі" lang="fo" hreflang="fo" data-title="Tríkantur" data-language-autonym="Føroyskt" data-language-local-name="фарер тілі" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Triangle" title="Triangle – француз тілі" lang="fr" hreflang="fr" data-title="Triangle" data-language-autonym="Français" data-language-local-name="француз тілі" 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/Triihuk" title="Triihuk – солтүстік фриз тілі" lang="frr" hreflang="frr" data-title="Triihuk" data-language-autonym="Nordfriisk" data-language-local-name="солтүстік фриз тілі" 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/Triant%C3%A1n_(c%C3%A9imseata)" title="Triantán (céimseata) – ирланд тілі" lang="ga" hreflang="ga" data-title="Triantán (céimseata)" data-language-autonym="Gaeilge" data-language-local-name="ирланд тілі" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E5%BD%A2" title="三角形 – Gan" lang="gan" hreflang="gan" data-title="三角形" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Triyang" title="Triyang – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Triyang" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Tri%C3%A1ngulo" title="Triángulo – галисия тілі" lang="gl" hreflang="gl" data-title="Triángulo" data-language-autonym="Galego" data-language-local-name="галисия тілі" 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%A4%E0%AB%8D%E0%AA%B0%E0%AA%BF%E0%AA%95%E0%AB%8B%E0%AA%A3" title="ત્રિકોણ – гуджарати тілі" lang="gu" hreflang="gu" data-title="ત્રિકોણ" data-language-autonym="ગુજરાતી" data-language-local-name="гуджарати тілі" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-guc mw-list-item"><a href="https://guc.wikipedia.org/wiki/Ap%C3%BCn%C3%BCinsheke%27einr%C3%BC" title="Apünüinsheke'einrü – Wayuu" lang="guc" hreflang="guc" data-title="Apünüinsheke'einrü" data-language-autonym="Wayuunaiki" data-language-local-name="Wayuu" class="interlanguage-link-target"><span>Wayuunaiki</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Troorane" title="Troorane – мэн тілі" lang="gv" hreflang="gv" data-title="Troorane" data-language-autonym="Gaelg" data-language-local-name="мэн тілі" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/S%C3%A2m-kok-h%C3%ACn" title="Sâm-kok-hìn – Hakka Chinese" lang="hak" hreflang="hak" data-title="Sâm-kok-hìn" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A9%D7%95%D7%9C%D7%A9" title="משולש – иврит тілі" lang="he" hreflang="he" data-title="משולש" data-language-autonym="עברית" data-language-local-name="иврит тілі" 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%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%81%E0%A4%9C" title="त्रिभुज – хинди тілі" lang="hi" hreflang="hi" data-title="त्रिभुज" data-language-autonym="हिन्दी" data-language-local-name="хинди тілі" 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/Trokut" title="Trokut – хорват тілі" lang="hr" hreflang="hr" data-title="Trokut" data-language-autonym="Hrvatski" data-language-local-name="хорват тілі" 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/T%C5%99ir%C3%B3%C5%BEk" title="Třiróžk – жоғарғы лужица тілі" lang="hsb" hreflang="hsb" data-title="Třiróžk" data-language-autonym="Hornjoserbsce" data-language-local-name="жоғарғы лужица тілі" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Triyang" title="Triyang – гаити тілі" lang="ht" hreflang="ht" data-title="Triyang" data-language-autonym="Kreyòl ayisyen" data-language-local-name="гаити тілі" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/H%C3%A1romsz%C3%B6g" title="Háromszög – венгр тілі" lang="hu" hreflang="hu" data-title="Háromszög" data-language-autonym="Magyar" data-language-local-name="венгр тілі" 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/%D4%B5%D5%BC%D5%A1%D5%B6%D5%AF%D5%B5%D5%B8%D6%82%D5%B6" title="Եռանկյուն – армян тілі" lang="hy" hreflang="hy" data-title="Եռանկյուն" data-language-autonym="Հայերեն" data-language-local-name="армян тілі" 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/Triangulo" title="Triangulo – интерлингва тілі" lang="ia" hreflang="ia" data-title="Triangulo" data-language-autonym="Interlingua" data-language-local-name="интерлингва тілі" 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/Segitiga" title="Segitiga – индонезия тілі" lang="id" hreflang="id" data-title="Segitiga" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезия тілі" 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/Triangulo" title="Triangulo – идо тілі" lang="io" hreflang="io" data-title="Triangulo" data-language-autonym="Ido" data-language-local-name="идо тілі" 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/%C3%9Er%C3%ADhyrningur" title="Þríhyrningur – исланд тілі" lang="is" hreflang="is" data-title="Þríhyrningur" data-language-autonym="Íslenska" data-language-local-name="исланд тілі" 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/Triangolo" title="Triangolo – итальян тілі" lang="it" hreflang="it" data-title="Triangolo" data-language-autonym="Italiano" data-language-local-name="итальян тілі" 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/%E4%B8%89%E8%A7%92%E5%BD%A2" title="三角形 – жапон тілі" lang="ja" hreflang="ja" data-title="三角形" data-language-autonym="日本語" data-language-local-name="жапон тілі" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Chrayanggl" title="Chrayanggl – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Chrayanggl" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Pasagi_telu" title="Pasagi telu – ява тілі" lang="jv" hreflang="jv" data-title="Pasagi telu" data-language-autonym="Jawa" data-language-local-name="ява тілі" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka badge-Q17437796 badge-featuredarticle mw-list-item" title="таңдаулы мақалалар"><a href="https://ka.wikipedia.org/wiki/%E1%83%A1%E1%83%90%E1%83%9B%E1%83%99%E1%83%A3%E1%83%97%E1%83%AE%E1%83%94%E1%83%93%E1%83%98" title="სამკუთხედი – грузин тілі" lang="ka" hreflang="ka" data-title="სამკუთხედი" data-language-autonym="ქართული" data-language-local-name="грузин тілі" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/%C3%9Ashm%C3%BAyeshlik" title="Úshmúyeshlik – қарақалпақ тілі" lang="kaa" hreflang="kaa" data-title="Úshmúyeshlik" data-language-autonym="Qaraqalpaqsha" data-language-local-name="қарақалпақ тілі" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kbd mw-list-item"><a href="https://kbd.wikipedia.org/wiki/%D0%A9%D0%B8%D0%BC%D1%8D" title="Щимэ – кабардин тілі" lang="kbd" hreflang="kbd" data-title="Щимэ" data-language-autonym="Адыгэбзэ" data-language-local-name="кабардин тілі" class="interlanguage-link-target"><span>Адыгэбзэ</span></a></li><li class="interlanguage-link interwiki-km badge-Q17437796 badge-featuredarticle mw-list-item" title="таңдаулы мақалалар"><a href="https://km.wikipedia.org/wiki/%E1%9E%8F%E1%9F%92%E1%9E%9A%E1%9E%B8%E1%9E%80%E1%9F%84%E1%9E%8E" title="ត្រីកោណ – кхмер тілі" lang="km" hreflang="km" data-title="ត្រីកោណ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="кхмер тілі" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%A4%E0%B3%8D%E0%B2%B0%E0%B2%BF%E0%B2%95%E0%B3%8B%E0%B2%A8" title="ತ್ರಿಕೋನ – каннада тілі" lang="kn" hreflang="kn" data-title="ತ್ರಿಕೋನ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="каннада тілі" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%82%BC%EA%B0%81%ED%98%95" title="삼각형 – корей тілі" lang="ko" hreflang="ko" data-title="삼각형" data-language-autonym="한국어" data-language-local-name="корей тілі" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/S%C3%AAgo%C5%9Fe" title="Sêgoşe – күрд тілі" lang="ku" hreflang="ku" data-title="Sêgoşe" data-language-autonym="Kurdî" data-language-local-name="күрд тілі" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Trihorn" title="Trihorn – корн тілі" lang="kw" hreflang="kw" data-title="Trihorn" data-language-autonym="Kernowek" data-language-local-name="корн тілі" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D2%AE%D1%87_%D0%B1%D1%83%D1%80%D1%87%D1%82%D1%83%D0%BA" title="Үч бурчтук – қырғыз тілі" lang="ky" hreflang="ky" data-title="Үч бурчтук" data-language-autonym="Кыргызча" data-language-local-name="қырғыз тілі" 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/Triangulum" title="Triangulum – латын тілі" lang="la" hreflang="la" data-title="Triangulum" data-language-autonym="Latina" data-language-local-name="латын тілі" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Triangulo" title="Triangulo – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Triangulo" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Driehook" title="Driehook – лимбург тілі" lang="li" hreflang="li" data-title="Driehook" data-language-autonym="Limburgs" data-language-local-name="лимбург тілі" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Triangolo" title="Triangolo – лигур тілі" lang="lij" hreflang="lij" data-title="Triangolo" data-language-autonym="Ligure" data-language-local-name="лигур тілі" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Tri%C3%A0ngol" title="Triàngol – ломбард тілі" lang="lmo" hreflang="lmo" data-title="Triàngol" data-language-autonym="Lombard" data-language-local-name="ломбард тілі" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/Mpanzi-mis%C3%A1to" title="Mpanzi-misáto – лингала тілі" lang="ln" hreflang="ln" data-title="Mpanzi-misáto" data-language-autonym="Lingála" data-language-local-name="лингала тілі" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Trikampis" title="Trikampis – литва тілі" lang="lt" hreflang="lt" data-title="Trikampis" data-language-autonym="Lietuvių" data-language-local-name="литва тілі" 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/Trijst%C5%ABris" title="Trijstūris – латыш тілі" lang="lv" hreflang="lv" data-title="Trijstūris" data-language-autonym="Latviešu" data-language-local-name="латыш тілі" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Telolafy" title="Telolafy – малагаси тілі" lang="mg" hreflang="mg" data-title="Telolafy" data-language-autonym="Malagasy" data-language-local-name="малагаси тілі" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9A%D1%83%D0%BC%D0%BB%D1%83%D0%BA" title="Кумлук – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Кумлук" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Sagitigo" title="Sagitigo – минангкабау тілі" lang="min" hreflang="min" data-title="Sagitigo" data-language-autonym="Minangkabau" data-language-local-name="минангкабау тілі" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" title="Триаголник – македон тілі" lang="mk" hreflang="mk" data-title="Триаголник" data-language-autonym="Македонски" data-language-local-name="македон тілі" 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%A4%E0%B5%8D%E0%B4%B0%E0%B4%BF%E0%B4%95%E0%B5%8B%E0%B4%A3%E0%B4%82" title="ത്രികോണം – малаялам тілі" lang="ml" hreflang="ml" data-title="ത്രികോണം" data-language-autonym="മലയാളം" data-language-local-name="малаялам тілі" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn badge-Q17437796 badge-featuredarticle mw-list-item" title="таңдаулы мақалалар"><a href="https://mn.wikipedia.org/wiki/%D0%93%D1%83%D1%80%D0%B2%D0%B0%D0%BB%D0%B6%D0%B8%D0%BD" title="Гурвалжин – моңғол тілі" lang="mn" hreflang="mn" data-title="Гурвалжин" data-language-autonym="Монгол" data-language-local-name="моңғол тілі" 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%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8B%E0%A4%A3" title="त्रिकोण – маратхи тілі" lang="mr" hreflang="mr" data-title="त्रिकोण" data-language-autonym="मराठी" data-language-local-name="маратхи тілі" 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/Segi_tiga" title="Segi tiga – малай тілі" lang="ms" hreflang="ms" data-title="Segi tiga" data-language-autonym="Bahasa Melayu" data-language-local-name="малай тілі" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Trijangolu" title="Trijangolu – мальта тілі" lang="mt" hreflang="mt" data-title="Trijangolu" data-language-autonym="Malti" data-language-local-name="мальта тілі" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%90%E1%80%BC%E1%80%AD%E1%80%82%E1%80%B6" title="တြိဂံ – бирма тілі" lang="my" hreflang="my" data-title="တြိဂံ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="бирма тілі" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%81%E0%A4%9C" title="त्रिभुज – непал тілі" lang="ne" hreflang="ne" data-title="त्रिभुज" data-language-autonym="नेपाली" data-language-local-name="непал тілі" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%B5%E0%A4%95%E0%A5%81%E0%A4%82" title="स्वकुं – невар тілі" lang="new" hreflang="new" data-title="स्वकुं" data-language-autonym="नेपाल भाषा" data-language-local-name="невар тілі" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Driehoek_(meetkunde)" title="Driehoek (meetkunde) – нидерланд тілі" lang="nl" hreflang="nl" data-title="Driehoek (meetkunde)" data-language-autonym="Nederlands" data-language-local-name="нидерланд тілі" 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/Trekant" title="Trekant – норвегиялық нюнорск тілі" lang="nn" hreflang="nn" data-title="Trekant" data-language-autonym="Norsk nynorsk" data-language-local-name="норвегиялық нюнорск тілі" 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/Trekant" title="Trekant – норвегиялық букмол тілі" lang="nb" hreflang="nb" data-title="Trekant" data-language-autonym="Norsk bokmål" data-language-local-name="норвегиялық букмол тілі" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nrm mw-list-item"><a href="https://nrm.wikipedia.org/wiki/Trian" title="Trian – Norman" lang="nrf" hreflang="nrf" data-title="Trian" data-language-autonym="Nouormand" data-language-local-name="Norman" class="interlanguage-link-target"><span>Nouormand</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Triangle" title="Triangle – окситан тілі" lang="oc" hreflang="oc" data-title="Triangle" data-language-autonym="Occitan" data-language-local-name="окситан тілі" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%A4%E0%AD%8D%E0%AC%B0%E0%AC%BF%E0%AC%AD%E0%AD%81%E0%AC%9C" title="ତ୍ରିଭୁଜ – ория тілі" lang="or" hreflang="or" data-title="ତ୍ରିଭୁଜ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="ория тілі" 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%A4%E0%A8%BF%E0%A8%95%E0%A9%8B%E0%A8%A8" title="ਤਿਕੋਨ – пенджаб тілі" lang="pa" hreflang="pa" data-title="ਤਿਕੋਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="пенджаб тілі" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pfl mw-list-item"><a href="https://pfl.wikipedia.org/wiki/Dreieck" title="Dreieck – Palatine German" lang="pfl" hreflang="pfl" data-title="Dreieck" data-language-autonym="Pälzisch" data-language-local-name="Palatine German" class="interlanguage-link-target"><span>Pälzisch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Tr%C3%B3jk%C4%85t" title="Trójkąt – поляк тілі" lang="pl" hreflang="pl" data-title="Trójkąt" data-language-autonym="Polski" data-language-local-name="поляк тілі" 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/Tri%C3%A0ngol" title="Triàngol – Piedmontese" lang="pms" hreflang="pms" data-title="Triàngol" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%AA%DA%A9%D9%88%D9%86" title="تکون – Western Punjabi" lang="pnb" hreflang="pnb" data-title="تکون" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%AF%D8%B1%DB%90%DA%85%D9%86%DA%89%DB%8C" title="درېڅنډی – пушту тілі" lang="ps" hreflang="ps" data-title="درېڅنډی" data-language-autonym="پښتو" data-language-local-name="пушту тілі" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Tri%C3%A2ngulo" title="Triângulo – португал тілі" lang="pt" hreflang="pt" data-title="Triângulo" data-language-autonym="Português" data-language-local-name="португал тілі" 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/Kimsak%27uchu" title="Kimsak'uchu – кечуа тілі" lang="qu" hreflang="qu" data-title="Kimsak'uchu" data-language-autonym="Runa Simi" data-language-local-name="кечуа тілі" 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/Triunghi" title="Triunghi – румын тілі" lang="ro" hreflang="ro" data-title="Triunghi" data-language-autonym="Română" data-language-local-name="румын тілі" 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%B5%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA" title="Треугольник – орыс тілі" lang="ru" hreflang="ru" data-title="Треугольник" data-language-autonym="Русский" data-language-local-name="орыс тілі" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D1%83%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" title="Триуголник – Rusyn" lang="rue" hreflang="rue" data-title="Триуголник" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Tri%C3%A0nculu" title="Triànculu – сицилия тілі" lang="scn" hreflang="scn" data-title="Triànculu" data-language-autonym="Sicilianu" data-language-local-name="сицилия тілі" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Triangle" title="Triangle – шотланд тілі" lang="sco" hreflang="sco" data-title="Triangle" data-language-autonym="Scots" data-language-local-name="шотланд тілі" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D9%BD%DA%AA%D9%86%DA%8A%D9%88" title="ٽڪنڊو – синдхи тілі" lang="sd" hreflang="sd" data-title="ٽڪنڊو" data-language-autonym="سنڌي" data-language-local-name="синдхи тілі" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-se mw-list-item"><a href="https://se.wikipedia.org/wiki/Golmma%C4%8Diegat" title="Golmmačiegat – солтүстік саам тілі" lang="se" hreflang="se" data-title="Golmmačiegat" data-language-autonym="Davvisámegiella" data-language-local-name="солтүстік саам тілі" 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/Trokut" title="Trokut – серб-хорват тілі" lang="sh" hreflang="sh" data-title="Trokut" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="серб-хорват тілі" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%AD%E0%B7%8A%E2%80%8D%E0%B6%BB%E0%B7%92%E0%B6%9A%E0%B7%9D%E0%B6%AB" title="ත්‍රිකෝණ – сингал тілі" lang="si" hreflang="si" data-title="ත්‍රිකෝණ" data-language-autonym="සිංහල" data-language-local-name="сингал тілі" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Triangle" title="Triangle – Simple English" lang="en-simple" hreflang="en-simple" data-title="Triangle" 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/Trojuholn%C3%ADk" title="Trojuholník – словак тілі" lang="sk" hreflang="sk" data-title="Trojuholník" data-language-autonym="Slovenčina" data-language-local-name="словак тілі" 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/Trikotnik" title="Trikotnik – словен тілі" lang="sl" hreflang="sl" data-title="Trikotnik" data-language-autonym="Slovenščina" data-language-local-name="словен тілі" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-smn mw-list-item"><a href="https://smn.wikipedia.org/wiki/Kulm%C3%A2h%C3%A2%C5%A1" title="Kulmâhâš – инари саам тілі" lang="smn" hreflang="smn" data-title="Kulmâhâš" data-language-autonym="Anarâškielâ" data-language-local-name="инари саам тілі" class="interlanguage-link-target"><span>Anarâškielâ</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Gonyonhatu" title="Gonyonhatu – шона тілі" lang="sn" hreflang="sn" data-title="Gonyonhatu" data-language-autonym="ChiShona" data-language-local-name="шона тілі" 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/Saddexagal" title="Saddexagal – сомали тілі" lang="so" hreflang="so" data-title="Saddexagal" data-language-autonym="Soomaaliga" data-language-local-name="сомали тілі" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Trek%C3%ABnd%C3%ABshi" title="Trekëndëshi – албан тілі" lang="sq" hreflang="sq" data-title="Trekëndëshi" data-language-autonym="Shqip" data-language-local-name="албан тілі" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D1%80%D0%BE%D1%83%D0%B3%D0%B0%D0%BE" title="Троугао – серб тілі" lang="sr" hreflang="sr" data-title="Троугао" data-language-autonym="Српски / srpski" data-language-local-name="серб тілі" 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/Juru_tilu" title="Juru tilu – сундан тілі" lang="su" hreflang="su" data-title="Juru tilu" data-language-autonym="Sunda" data-language-local-name="сундан тілі" 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/Triangel" title="Triangel – швед тілі" lang="sv" hreflang="sv" data-title="Triangel" data-language-autonym="Svenska" data-language-local-name="швед тілі" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Pembetatu" title="Pembetatu – суахили тілі" lang="sw" hreflang="sw" data-title="Pembetatu" data-language-autonym="Kiswahili" data-language-local-name="суахили тілі" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Trziek" title="Trziek – силез тілі" lang="szl" hreflang="szl" data-title="Trziek" data-language-autonym="Ślůnski" data-language-local-name="силез тілі" 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%AE%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%8B%E0%AE%A3%E0%AE%AE%E0%AF%8D" title="முக்கோணம் – тамил тілі" lang="ta" hreflang="ta" data-title="முக்கோணம்" data-language-autonym="தமிழ்" data-language-local-name="тамил тілі" 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%A4%E0%B1%8D%E0%B0%B0%E0%B0%BF%E0%B0%AD%E0%B1%81%E0%B0%9C%E0%B0%82" title="త్రిభుజం – телугу тілі" lang="te" hreflang="te" data-title="త్రిభుజం" data-language-autonym="తెలుగు" data-language-local-name="телугу тілі" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A1%D0%B5%D0%BA%D1%83%D0%BD%D2%B7%D0%B0" title="Секунҷа – тәжік тілі" lang="tg" hreflang="tg" data-title="Секунҷа" data-language-autonym="Тоҷикӣ" data-language-local-name="тәжік тілі" class="interlanguage-link-target"><span>Тоҷикӣ</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%B2%E0%B8%A1%E0%B9%80%E0%B8%AB%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2%E0%B8%A1" title="รูปสามเหลี่ยม – тай тілі" lang="th" hreflang="th" data-title="รูปสามเหลี่ยม" data-language-autonym="ไทย" data-language-local-name="тай тілі" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Tatsulok" title="Tatsulok – Tagalog" lang="tl" hreflang="tl" data-title="Tatsulok" data-language-autonym="Tagalog" data-language-local-name="Tagalog" 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/%C3%9C%C3%A7gen" title="Üçgen – түрік тілі" lang="tr" hreflang="tr" data-title="Üçgen" data-language-autonym="Türkçe" data-language-local-name="түрік тілі" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D3%A8%D1%87%D0%BF%D0%BE%D1%87%D0%BC%D0%B0%D0%BA" title="Өчпочмак – татар тілі" lang="tt" hreflang="tt" data-title="Өчпочмак" data-language-autonym="Татарча / tatarça" data-language-local-name="татар тілі" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%BA%D1%83%D1%82%D0%BD%D0%B8%D0%BA" title="Трикутник – украин тілі" lang="uk" hreflang="uk" data-title="Трикутник" data-language-autonym="Українська" data-language-local-name="украин тілі" 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/%D9%85%D8%AB%D9%84%D8%AB" title="مثلث – урду тілі" lang="ur" hreflang="ur" data-title="مثلث" data-language-autonym="اردو" data-language-local-name="урду тілі" 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/Uchburchak" title="Uchburchak – өзбек тілі" lang="uz" hreflang="uz" data-title="Uchburchak" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="өзбек тілі" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Triango%C5%82o" title="Triangoło – венеция тілі" lang="vec" hreflang="vec" data-title="Triangoło" data-language-autonym="Vèneto" data-language-local-name="венеция тілі" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Tam_gi%C3%A1c" title="Tam giác – вьетнам тілі" lang="vi" hreflang="vi" data-title="Tam giác" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнам тілі" 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/Drieoek" title="Drieoek – West Flemish" lang="vls" hreflang="vls" data-title="Drieoek" 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/Trayanggulo" title="Trayanggulo – варай тілі" lang="war" hreflang="war" data-title="Trayanggulo" data-language-autonym="Winaray" data-language-local-name="варай тілі" 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/%E4%B8%89%E8%A7%92%E5%BD%A2" title="三角形 – қытай тілі (У)" lang="wuu" hreflang="wuu" data-title="三角形" data-language-autonym="吴语" data-language-local-name="қытай тілі (У)" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%93%D7%A8%D7%99%D7%99%D7%A2%D7%A7" title="דרייעק – идиш тілі" lang="yi" hreflang="yi" data-title="דרייעק" data-language-autonym="ייִדיש" data-language-local-name="идиш тілі" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/An%C3%ADgunm%E1%BA%B9%CC%81ta" title="Anígunmẹ́ta – йоруба тілі" lang="yo" hreflang="yo" data-title="Anígunmẹ́ta" data-language-autonym="Yorùbá" data-language-local-name="йоруба тілі" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B4%B0%E2%B5%8E%E2%B4%BD%E2%B5%95%E2%B4%B0%E2%B4%B9" title="ⴰⵎⴽⵕⴰⴹ – марокколық стандартты тамазигхт тілі" lang="zgh" hreflang="zgh" data-title="ⴰⵎⴽⵕⴰⴹ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="марокколық стандартты тамазигхт тілі" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E5%BD%A2" title="三角形 – қытай тілі" lang="zh" hreflang="zh" data-title="三角形" data-language-autonym="中文" data-language-local-name="қытай тілі" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E5%BD%A2" title="三角形 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="三角形" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Sa%E2%81%BF-kak-h%C3%AAng" title="Saⁿ-kak-hêng – Minnan" lang="nan" hreflang="nan" data-title="Saⁿ-kak-hêng" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link 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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">Уикипедия — ашық энциклопедиясынан алынған мәлімет</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="kk" dir="ltr"><p><i><b>Үшбұрыш</b></i> - ең қарапайым <a href="/wiki/%D0%9A%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Көпбұрыш">көпбұрыш</a>, үш <a href="/wiki/%D0%9D%D2%AF%D0%BA%D1%82%D0%B5_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Нүкте (геометрия)">нүктеден</a>, үш қабырғадан және үш <a href="/wiki/%D0%91%D2%B1%D1%80%D1%8B%D1%88_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Бұрыш (геометрия)">бұрыштан</a> тұрады немесе бір түзу бойында жатпайтын үш нүктені қосатын кесінділерді шектейтін <a href="/wiki/%D0%96%D0%B0%D0%B7%D1%8B%D2%9B%D1%82%D1%8B%D2%9B_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Жазықтық (геометрия)">жазықтық</a> бөлігі. </p> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle_illustration.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Triangle_illustration.svg/220px-Triangle_illustration.svg.png" decoding="async" width="220" height="248" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Triangle_illustration.svg/330px-Triangle_illustration.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Triangle_illustration.svg/440px-Triangle_illustration.svg.png 2x" data-file-width="512" data-file-height="576" /></a><figcaption>Үшбұрыш'.</figcaption></figure> <p>Үшбұрыштардың түрлері: тең қабырғалы , теңбүйірлі, сүйірбұрышты, тік бұрышты, доғал бұрышты. </p><p>Доғалбұрышты үшбұрыш - ішкі бір бұрышы доғал бұрыш болатын үшбұрыш. </p> . <table align="center"><tbody><tr align="center"><td><span typeof="mw:File"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle.Equilateral.svg" class="mw-file-description" title="тең қабырғалы"><img alt="тең қабырғалы" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Triangle.Equilateral.svg/120px-Triangle.Equilateral.svg.png" decoding="async" width="120" height="97" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Triangle.Equilateral.svg/180px-Triangle.Equilateral.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Triangle.Equilateral.svg/240px-Triangle.Equilateral.svg.png 2x" data-file-width="512" data-file-height="415" /></a></span></td> <td width="125"><span class="mw-default-size" typeof="mw:File"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle.Isosceles.svg" class="mw-file-description" title="теңбүйірлі"><img alt="теңбүйірлі" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Triangle.Isosceles.svg/824px-Triangle.Isosceles.svg.png" decoding="async" width="824" height="1296" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Triangle.Isosceles.svg/1236px-Triangle.Isosceles.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/14/Triangle.Isosceles.svg/1648px-Triangle.Isosceles.svg.png 2x" data-file-width="824" data-file-height="1296" /></a></span></td> <td><span class="mw-default-size" typeof="mw:File"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle.Scalene.svg" class="mw-file-description" title="Доғал бұрышты"><img alt="Доғал бұрышты" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Triangle.Scalene.svg/245px-Triangle.Scalene.svg.png" decoding="async" width="245" height="110" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Triangle.Scalene.svg/368px-Triangle.Scalene.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/93/Triangle.Scalene.svg/490px-Triangle.Scalene.svg.png 2x" data-file-width="245" data-file-height="110" /></a></span></td> </tr> <tr align="center"> <td>Дұрыс үшбұрыш</td><td>Теңбүйірлі</td><td>Доғал бұрышты</td> </tr> </tbody></table> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Теоремалары"><span id=".D0.A2.D0.B5.D0.BE.D1.80.D0.B5.D0.BC.D0.B0.D0.BB.D0.B0.D1.80.D1.8B"></span>Теоремалары</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=1" title="Бөлімді өңдеу: Теоремалары" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=1" title="Бөлімнің қайнар кодын өңдеу: Теоремалары"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Қабырғалар_мен_бұрыштарды_салыстыру"><span id=".D2.9A.D0.B0.D0.B1.D1.8B.D1.80.D2.93.D0.B0.D0.BB.D0.B0.D1.80_.D0.BC.D0.B5.D0.BD_.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D0.B0.D1.80.D0.B4.D1.8B_.D1.81.D0.B0.D0.BB.D1.8B.D1.81.D1.82.D1.8B.D1.80.D1.83"></span>Қабырғалар мен бұрыштарды салыстыру</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=2" title="Бөлімді өңдеу: Қабырғалар мен бұрыштарды салыстыру" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=2" title="Бөлімнің қайнар кодын өңдеу: Қабырғалар мен бұрыштарды салыстыру"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Т.1.Тең_үшбұрыштарда"><span id=".D0.A2.1..D0.A2.D0.B5.D2.A3_.D2.AF.D1.88.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D0.B0.D1.80.D0.B4.D0.B0"></span>Т.1.Тең үшбұрыштарда</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=3" title="Бөлімді өңдеу: Т.1.Тең үшбұрыштарда" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=3" title="Бөлімнің қайнар кодын өңдеу: Т.1.Тең үшбұрыштарда"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol><li>Тең қабырғаларға қарсы тең бұрыштар жатады.</li></ol> <ol><li>Тең бұрыштарға қарсы тең қабырғалар жатады.</li></ol> <ol><li>Үлкен қабырғаға қарсы үлкен бұрыш жатады.</li></ol> <ol><li>Үлкен бұрышқа қарсы үлкен қабырға жатады.</li></ol> <div class="mw-heading mw-heading3"><h3 id="Т.2.Кез_келген_үшбұрышта"><span id=".D0.A2.2..D0.9A.D0.B5.D0.B7_.D0.BA.D0.B5.D0.BB.D0.B3.D0.B5.D0.BD_.D2.AF.D1.88.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D0.B0"></span>Т.2.Кез келген үшбұрышта</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=4" title="Бөлімді өңдеу: Т.2.Кез келген үшбұрышта" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=4" title="Бөлімнің қайнар кодын өңдеу: Т.2.Кез келген үшбұрышта"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol><li>Екі қабырғаның қосындысы үшінші қабырғадан үлкен, ал айырмасы үшіншісінен кіші болады.Сыртқы бұрыш онымен сыбайлас емес екі ішкі бұрыштың қосындысына тең болады.</li></ol> <ol><li>Ішкі бұрыштардың қосындысы 180º-қа тең.</li></ol> <div class="mw-heading mw-heading3"><h3 id="Т.3._Үшбұрыштар_теңдігінің_белгілері"><span id=".D0.A2.3._.D2.AE.D1.88.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D0.B0.D1.80_.D1.82.D0.B5.D2.A3.D0.B4.D1.96.D0.B3.D1.96.D0.BD.D1.96.D2.A3_.D0.B1.D0.B5.D0.BB.D0.B3.D1.96.D0.BB.D0.B5.D1.80.D1.96"></span>Т.3. Үшбұрыштар теңдігінің белгілері</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=5" title="Бөлімді өңдеу: Т.3. Үшбұрыштар теңдігінің белгілері" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=5" title="Бөлімнің қайнар кодын өңдеу: Т.3. Үшбұрыштар теңдігінің белгілері"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Екі үшбұрыштың мына өлшемдері тең болса, онда олар өзара тең болады: </p> <ol><li>Екі қабырғасы мен олардың арасындағы бұрышы.</li></ol> <ol><li>Бір қабырғасы мен оған іргелес бұрыштары.</li></ol> <ol><li>Үш қабырғасы.</li></ol> <p>І белгі. Егер бір үшбұрыштың екі қабырғасы мен олардың арасындағы бұрышы екінші үшбұрыштың сәйкес екі қабырғасы мен олардың арасындағы бұрышына тең болса, онда бұл үшбұрыштар тең болады. </p><p>ІІ белгі. Егер бір үшбұрыштың бір қабырғасы мен оған іргелес екі бұрышы екінші үшбұрыштың сәйкес бір қабырғасы мен оған іргелес екі бұрышына тең болса, онда бұл үшбұрыштар тең болады. </p><p>ІІІ белгі. Егер бір үшбұрыштың үш қабырғасы екінші үшбұрыштың сәйкес үш қабырғасына тең болса, онда бұл үшбұрыштар тең болады. </p> <div class="mw-heading mw-heading3"><h3 id="Т.4.Тікбұрышты_үшбұрыштардың_теңдігінің_белгілері"><span id=".D0.A2.4..D0.A2.D1.96.D0.BA.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D1.8B_.D2.AF.D1.88.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D0.B0.D1.80.D0.B4.D1.8B.D2.A3_.D1.82.D0.B5.D2.A3.D0.B4.D1.96.D0.B3.D1.96.D0.BD.D1.96.D2.A3_.D0.B1.D0.B5.D0.BB.D0.B3.D1.96.D0.BB.D0.B5.D1.80.D1.96"></span>Т.4.Тікбұрышты үшбұрыштардың теңдігінің белгілері</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=6" title="Бөлімді өңдеу: Т.4.Тікбұрышты үшбұрыштардың теңдігінің белгілері" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=6" title="Бөлімнің қайнар кодын өңдеу: Т.4.Тікбұрышты үшбұрыштардың теңдігінің белгілері"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Екі тікбұрышты үшбұрыштың мына өлшемдері тең болса, онда олар өзара тең болады: </p> <ol><li>Гипотенуза мен сүйір бұрышы.</li></ol> <ol><li>Катет пен қарсы жатқан бұрышы.</li></ol> <ol><li>Катет пен іргелес бұрышы.</li></ol> <ol><li>Екі катеті.</li></ol> <ol><li>Гипотенуза мен катеті.</li></ol> <p>І белгі. Егер тік бұрышты үшбұрыштың екі катеті екінші тік бұрышты үшбұрыштың екі катетіне тең болса, онда бұл тік бұрышты үшбұрыштар тең болады. </p><p>ІІ белгі. Егер тік бұрышты үшбұрыштың катеті мен оған іргелес сүйір бұрышы екінші тік бұрышты үшбұрыштың сәйкес катеті мен оған іргелес сүйір бұрышына тең болса, онда бұл үшбұрыштар тең болады. </p><p>ІІІ белгі. Егер тік бұрышты үшбұрыштың гипотенузасы мен сүйір бұрышы екінші үшбұрыштың гипотенузасы мен сүйір бұрышына тең болса, онда бұл үшбұрыштар тең болады. </p><p>ІV белгі. Егер тік бұрышты үшбұрыштың катеті мен гипотенузасы екінші тік бұрышты үшбұрыштың сәйкес катеті мен гипотенузасына тең болса,онда бұл үшбұрыштар тең болады. </p><p>Теорема 6. Тік бұрышты үшбұрыштың 30º -қа тең бұрышына қарсы жатқан катеті гипотенузаның жартысына тең. </p> <div class="mw-heading mw-heading2"><h2 id="Косинустар_және_синустар_теоремасы"><span id=".D0.9A.D0.BE.D1.81.D0.B8.D0.BD.D1.83.D1.81.D1.82.D0.B0.D1.80_.D0.B6.D3.99.D0.BD.D0.B5_.D1.81.D0.B8.D0.BD.D1.83.D1.81.D1.82.D0.B0.D1.80_.D1.82.D0.B5.D0.BE.D1.80.D0.B5.D0.BC.D0.B0.D1.81.D1.8B"></span>Косинустар және синустар теоремасы</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=7" title="Бөлімді өңдеу: Косинустар және синустар теоремасы" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=7" title="Бөлімнің қайнар кодын өңдеу: Косинустар және синустар теоремасы"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle_with_notations_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/Triangle_with_notations_2.svg/220px-Triangle_with_notations_2.svg.png" decoding="async" width="220" height="131" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/Triangle_with_notations_2.svg/330px-Triangle_with_notations_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/49/Triangle_with_notations_2.svg/440px-Triangle_with_notations_2.svg.png 2x" data-file-width="790" data-file-height="469" /></a><figcaption>Үшбұрыш қабырларары a, b және c ал бұрыштары α, β және γ сәйкесінше.</figcaption></figure> <ul><li>Синустар теоремасы</li></ul> <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 {a}{\sin \alpha }}={\frac {b}{\sin \beta }}={\frac {c}{\sin \gamma }}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>β</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>c</mi> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>γ</mi> </mrow> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {a}{\sin \alpha }}={\frac {b}{\sin \beta }}={\frac {c}{\sin \gamma }}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f94b51f7a15bbf213c3dafdff05fc9c2d246926" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:23.162ex; height:5.843ex;" alt="{\displaystyle {\frac {a}{\sin \alpha }}={\frac {b}{\sin \beta }}={\frac {c}{\sin \gamma }}.}"></span></dd></dl> <ul><li>Косинустар теоремасы</li></ul> <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 c^{2}\ =a^{2}+b^{2}-2ab\cos(\gamma )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mtext> </mtext> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mn>2</mn> <mi>a</mi> <mi>b</mi> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>γ</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c^{2}\ =a^{2}+b^{2}-2ab\cos(\gamma )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4993a60f1c5a232ac3c0861760a6002a6b788241" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:25.716ex; height:3.176ex;" alt="{\displaystyle c^{2}\ =a^{2}+b^{2}-2ab\cos(\gamma )}"></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^{2}\ =a^{2}+c^{2}-2ac\cos(\beta )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mtext> </mtext> <mo>=</mo> <msup> <mi>a</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>a</mi> <mi>c</mi> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>β</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b^{2}\ =a^{2}+c^{2}-2ac\cos(\beta )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75b23b1e839784f2d9571a880655efd3008b89ee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:25.795ex; height:3.176ex;" alt="{\displaystyle b^{2}\ =a^{2}+c^{2}-2ac\cos(\beta )}"></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 a^{2}\ =b^{2}+c^{2}-2bc\cos(\alpha )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mtext> </mtext> <mo>=</mo> <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> <mi>c</mi> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>α</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}\ =b^{2}+c^{2}-2bc\cos(\alpha )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/82cc90ccf2a2e7873b8e31c1ef78bbcbdbc2ad8f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:25.719ex; height:3.176ex;" alt="{\displaystyle a^{2}\ =b^{2}+c^{2}-2bc\cos(\alpha )}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Үшбұрыштың_негізгі_сызықтары:_биіктігі,_медиана,_биссектриса,_орта_перпендикуляр,_орта_сызық"><span id=".D2.AE.D1.88.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D1.8B.D2.A3_.D0.BD.D0.B5.D0.B3.D1.96.D0.B7.D0.B3.D1.96_.D1.81.D1.8B.D0.B7.D1.8B.D2.9B.D1.82.D0.B0.D1.80.D1.8B:_.D0.B1.D0.B8.D1.96.D0.BA.D1.82.D1.96.D0.B3.D1.96.2C_.D0.BC.D0.B5.D0.B4.D0.B8.D0.B0.D0.BD.D0.B0.2C_.D0.B1.D0.B8.D1.81.D1.81.D0.B5.D0.BA.D1.82.D1.80.D0.B8.D1.81.D0.B0.2C_.D0.BE.D1.80.D1.82.D0.B0_.D0.BF.D0.B5.D1.80.D0.BF.D0.B5.D0.BD.D0.B4.D0.B8.D0.BA.D1.83.D0.BB.D1.8F.D1.80.2C_.D0.BE.D1.80.D1.82.D0.B0_.D1.81.D1.8B.D0.B7.D1.8B.D2.9B"></span>Үшбұрыштың негізгі сызықтары: биіктігі, медиана, биссектриса, орта перпендикуляр, орта сызық</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=8" title="Бөлімді өңдеу: Үшбұрыштың негізгі сызықтары: биіктігі, медиана, биссектриса, орта перпендикуляр, орта сызық" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=8" title="Бөлімнің қайнар кодын өңдеу: Үшбұрыштың негізгі сызықтары: биіктігі, медиана, биссектриса, орта перпендикуляр, орта сызық"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Үшбұрыштың <i>биіктігі</i> деп оның төбесінен қарсы жатқан қабырғасы арқылы өтетін түзуге түсірілген перпендикулярды айтады. </p><p>Үшбұрыштың берілген төбесінен жүргізілген <i>биссектрисасы</i> деп осы төбесіндегі бұрыш биссектрисасының қарсы жатқан қабырғасымен шектелетін кесіндіні айтады. </p><p>Үшбұрыштың берілген төбесінен жүргізілген <i>медианасы</i> деп осы төбені қарсы жатқан қабырғасының ортасымен қосатын кесіндіні айтады. </p><p>Теорема. Тең бүйірлі үшбұрыштың төбесінен табанына жүргізілген биссектрисасы оның әрі медианасы, әрі биіктігі болады. </p> <div class="mw-heading mw-heading3"><h3 id="Т.5._Төрт_тамаша_нүкте"><span id=".D0.A2.5._.D0.A2.D3.A9.D1.80.D1.82_.D1.82.D0.B0.D0.BC.D0.B0.D1.88.D0.B0_.D0.BD.D2.AF.D0.BA.D1.82.D0.B5"></span>Т.5. Төрт тамаша нүкте</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=9" title="Бөлімді өңдеу: Т.5. Төрт тамаша нүкте" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=9" title="Бөлімнің қайнар кодын өңдеу: Т.5. Төрт тамаша нүкте"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Кез келген үшбұрышта бір нүктеде қиылысатын: </p> <ol><li>Үш медиана.(медианалардың қиылысу нүктесі үшбұрыштың ауырлық орталығы болып табылады, ол әрбір медиананы, төбесінен санағанда, 2:1 қатынасындай етіп бөледі.) <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle.Centroid.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Triangle.Centroid.svg/220px-Triangle.Centroid.svg.png" decoding="async" width="220" height="178" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Triangle.Centroid.svg/330px-Triangle.Centroid.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Triangle.Centroid.svg/440px-Triangle.Centroid.svg.png 2x" data-file-width="809" data-file-height="654" /></a><figcaption>Медианалардың қиылысу нүктесі үшбұрыштың <a href="/w/index.php?title=%D0%90%D1%83%D1%8B%D1%80%D0%BB%D1%8B%D2%9B_%D1%86%D0%B5%D0%BD%D1%82%D1%80&action=edit&redlink=1" class="new" title="Ауырлық центр (мұндай бет жоқ)">ауырлық центрі</a> болып табылады.</figcaption></figure></li> <li>Үш биіктігі(немесе олардың созындылары.)</li> <li>Үш орта перпендикуляр (олардың қиылысу нүктесі үшбұрышқа сырттай сызылған шеңбердің орталығы болып табылады.) <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle.Circumcenter.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Triangle.Circumcenter.svg/220px-Triangle.Circumcenter.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Triangle.Circumcenter.svg/330px-Triangle.Circumcenter.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/74/Triangle.Circumcenter.svg/440px-Triangle.Circumcenter.svg.png 2x" data-file-width="198" data-file-height="198" /></a><figcaption>Үш орта перпендикуляр қиылысу нүктесі үшбұрышқа сырттай сызылған шеңбердің орталығы болып табылады.</figcaption></figure></li> <li>Ішкі бұрыштардың үш биссектрисасы(олардың қиылысу нүктесі үшбұрышқа іштей сызылған шеңбердің орталығы болып табылады.) <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:Triangle.Incircle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Triangle.Incircle.svg/220px-Triangle.Incircle.svg.png" decoding="async" width="220" height="190" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Triangle.Incircle.svg/330px-Triangle.Incircle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Triangle.Incircle.svg/440px-Triangle.Incircle.svg.png 2x" data-file-width="182" data-file-height="157" /></a><figcaption>Биссектрисаларның қиылысу нүктесі үшбұрышқа іштей сызылған шеңбердің орталығы болып табылады.</figcaption></figure><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></li></ol> <div class="mw-heading mw-heading2"><h2 id="Үшбұрыштың_ауданын_есептеу"><span id=".D2.AE.D1.88.D0.B1.D2.B1.D1.80.D1.8B.D1.88.D1.82.D1.8B.D2.A3_.D0.B0.D1.83.D0.B4.D0.B0.D0.BD.D1.8B.D0.BD_.D0.B5.D1.81.D0.B5.D0.BF.D1.82.D0.B5.D1.83"></span>Үшбұрыштың ауданын есептеу</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=10" title="Бөлімді өңдеу: Үшбұрыштың ауданын есептеу" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=10" title="Бөлімнің қайнар кодын өңдеу: Үшбұрыштың ауданын есептеу"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>S=1/2*a*h </p> <div class="mw-heading mw-heading3"><h3 id="Координаттарды_қолдану_тәсілі_арқылы"><span id=".D0.9A.D0.BE.D0.BE.D1.80.D0.B4.D0.B8.D0.BD.D0.B0.D1.82.D1.82.D0.B0.D1.80.D0.B4.D1.8B_.D2.9B.D0.BE.D0.BB.D0.B4.D0.B0.D0.BD.D1.83_.D1.82.D3.99.D1.81.D1.96.D0.BB.D1.96_.D0.B0.D1.80.D2.9B.D1.8B.D0.BB.D1.8B"></span>Координаттарды қолдану тәсілі арқылы</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=11" title="Бөлімді өңдеу: Координаттарды қолдану тәсілі арқылы" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=11" title="Бөлімнің қайнар кодын өңдеу: Координаттарды қолдану тәсілі арқылы"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><i>A</i> төбесі Картезиандық координаттар жүйесінің (0, 0) нүктесінде орналасқан және үшбұрыштың өзге екі нүктесінің координаттары <span style="white-space:nowrap;"><i>B</i> = (<i>x<sub>B</sub></i>, <i>y<sub>B</sub></i>)</span> және <span style="white-space:nowrap;"><i>C</i> = (<i>x<sub>C</sub></i>, <i>y<sub>C</sub></i>)</span> болсын, мұндай үшбұрыштың ауданы <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 {1}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a11cfb2fdb143693b1daf78fcb5c11a023cb1c55" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:1.999ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{2}}}"></span> көбейту детерминанттың абсолют шамасы формуласымен есептелінеді:<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 T={\frac {1}{2}}\left|\det {\begin{pmatrix}x_{B}&x_{C}\\y_{B}&y_{C}\end{pmatrix}}\right|={\frac {1}{2}}|x_{B}y_{C}-x_{C}y_{B}|.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow> <mo>|</mo> <mrow> <mo movablelimits="true" form="prefix">det</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>(</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> </mtd> </mtr> </mtable> <mo>)</mo> </mrow> </mrow> </mrow> <mo>|</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T={\frac {1}{2}}\left|\det {\begin{pmatrix}x_{B}&x_{C}\\y_{B}&y_{C}\end{pmatrix}}\right|={\frac {1}{2}}|x_{B}y_{C}-x_{C}y_{B}|.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e4b723f220e96ded1a725573473ee4dea6e2e411" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:44.884ex; height:6.176ex;" alt="{\displaystyle T={\frac {1}{2}}\left|\det {\begin{pmatrix}x_{B}&x_{C}\\y_{B}&y_{C}\end{pmatrix}}\right|={\frac {1}{2}}|x_{B}y_{C}-x_{C}y_{B}|.}"></span> </p><p>Жазықтықтағы кез келген үш нүкте үшін үшбұрыштың ауданы: </p> <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 T={\frac {1}{2}}\left|\det {\begin{pmatrix}x_{A}&x_{B}&x_{C}\\y_{A}&y_{B}&y_{C}\\1&1&1\end{pmatrix}}\right|={\frac {1}{2}}{\big |}x_{A}y_{B}-x_{A}y_{C}+x_{B}y_{C}-x_{B}y_{A}+x_{C}y_{A}-x_{C}y_{B}{\big |},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow> <mo>|</mo> <mrow> <mo movablelimits="true" form="prefix">det</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>(</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> </mtable> <mo>)</mo> </mrow> </mrow> </mrow> <mo>|</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T={\frac {1}{2}}\left|\det {\begin{pmatrix}x_{A}&x_{B}&x_{C}\\y_{A}&y_{B}&y_{C}\\1&1&1\end{pmatrix}}\right|={\frac {1}{2}}{\big |}x_{A}y_{B}-x_{A}y_{C}+x_{B}y_{C}-x_{B}y_{A}+x_{C}y_{A}-x_{C}y_{B}{\big |},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e3ac319c9aabab109fbe264a87644182c36cd1c2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.171ex; width:83.665ex; height:9.509ex;" alt="{\displaystyle T={\frac {1}{2}}\left|\det {\begin{pmatrix}x_{A}&x_{B}&x_{C}\\y_{A}&y_{B}&y_{C}\\1&1&1\end{pmatrix}}\right|={\frac {1}{2}}{\big |}x_{A}y_{B}-x_{A}y_{C}+x_{B}y_{C}-x_{B}y_{A}+x_{C}y_{A}-x_{C}y_{B}{\big |},}"></span></dd></dl> <p>бұл формуланы ықшамдай беріп </p> <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 T={\frac {1}{2}}{\big |}(x_{A}-x_{C})(y_{B}-y_{A})-(x_{A}-x_{B})(y_{C}-y_{A}){\big |}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo>−</mo> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T={\frac {1}{2}}{\big |}(x_{A}-x_{C})(y_{B}-y_{A})-(x_{A}-x_{B})(y_{C}-y_{A}){\big |}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/206007a4d7be5d914a8540a19d5fa80a566e76d1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:51.77ex; height:5.176ex;" alt="{\displaystyle T={\frac {1}{2}}{\big |}(x_{A}-x_{C})(y_{B}-y_{A})-(x_{A}-x_{B})(y_{C}-y_{A}){\big |}.}"></span></dd></dl> <p>формуласын шығарсақ болады.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Дереккөздер"><span id=".D0.94.D0.B5.D1.80.D0.B5.D0.BA.D0.BA.D3.A9.D0.B7.D0.B4.D0.B5.D1.80"></span>Дереккөздер</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&veaction=edit&section=12" title="Бөлімді өңдеу: Дереккөздер" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&section=12" title="Бөлімнің қайнар кодын өңдеу: Дереккөздер"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Рахимбекова З.М. Материалдар механикасы терминдерінің ағылшынша-орысша-қазақша түсіндірме сөздігі <a href="/wiki/%D0%90%D1%80%D0%BD%D0%B0%D0%B9%D1%8B:%D0%9A%D1%96%D1%82%D0%B0%D0%BF_%D2%9B%D0%B0%D0%B9%D0%BD%D0%B0%D1%80%D0%BB%D0%B0%D1%80%D1%8B/9965769672" class="internal mw-magiclink-isbn">ISBN 9965-769-67-2</a></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation Journal">Bart Braden (1986). <a rel="nofollow" class="external text" href="http://web.archive.org/web/20031105063724/http://www.maa.org/pubs/Calc_articles/ma063.pdf">"The Surveyor's Area Formula"</a>. <i>The College Mathematics Journal</i> <b>17</b> (4): 326–337. Archived from <a rel="nofollow" class="external text" href="http://www.maa.org/pubs/Calc_articles/ma063.pdf">the original</a> on 2003-11-05<span class="printonly">. <a rel="nofollow" class="external free" href="http://web.archive.org/web/20031105063724/http://www.maa.org/pubs/Calc_articles/ma063.pdf">http://web.archive.org/web/20031105063724/http://www.maa.org/pubs/Calc_articles/ma063.pdf</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+Surveyor%27s+Area+Formula&rft.jtitle=The+College+Mathematics+Journal&rft.aulast=Bart+Braden&rft.au=Bart+Braden&rft.date=1986&rft.volume=17&rft.issue=4&rft.pages=326%E2%80%93337&rft_id=http%3A%2F%2Fweb.archive.org%2Fweb%2F20031105063724%2Fhttp%3A%2F%2Fwww.maa.org%2Fpubs%2FCalc_articles%2Fma063.pdf&rfr_id=info:sid/en.wikipedia.org:%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88"><span style="display: none;"> </span></span></span> </li> </ol> <table 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href="/wiki/%D2%AE%D0%BB%D0%B3%D1%96_%D1%82%D0%B0%D0%BB%D2%9B%D1%8B%D0%BB%D0%B0%D1%83%D1%8B:%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Бұл үлгіні талқылау"><img alt="Бұл үлгіні талқылау" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/14px-Comment_alt_font_awesome.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/21px-Comment_alt_font_awesome.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/28px-Comment_alt_font_awesome.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span> <span typeof="mw:File"><a href="//kk.wikipedia.org/w/index.php?title=%D2%AE%D0%BB%D0%B3%D1%96:%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit" title="Бұл үлгіні өңдеу"><img alt="Бұл үлгіні өңдеу" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/16px-Template_alt_full_black_22.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/24px-Template_alt_full_black_22.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/32px-Template_alt_full_black_22.svg.png 2x" data-file-width="160" data-file-height="160" /></a></span></span><div style="font-size:114%"><a class="mw-selflink selflink">Үшбұрыш</a></div></th></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group">Үшбұрыштардың түрлері</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D2%AF%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Дұрыс үшбұрыш">Дұрыс үшбұрыш</a> • <a href="/wiki/%D0%A2%D1%96%D0%BA%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D1%8B_%D2%AF%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Тікбұрышты үшбұрыш">Тікбұрышты үшбұрыш</a> (<a href="/wiki/%D0%93%D0%B8%D0%BF%D0%BE%D1%82%D0%B5%D0%BD%D1%83%D0%B7%D0%B0" title="Гипотенуза">Гипотенуза</a> • <a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D1%82" title="Катет">Катеттер</a>) • <a href="/wiki/%D0%A2%D0%B5%D2%A3_%D0%B1%D2%AF%D0%B9%D1%96%D1%80%D0%BB%D1%96_%D2%AF%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Тең бүйірлі үшбұрыш">Тең бүйірлі үшбұрыш</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group">Үшбұрышқа қатысты сызықтар</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88_%D0%BC%D0%B5%D0%B4%D0%B8%D0%B0%D0%BD%D0%B0%D1%81%D1%8B" title="Үшбұрыш медианасы">Медиана</a> • <a href="/wiki/%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D1%8B%D2%A3_%D0%B1%D0%B8%D1%96%D0%BA%D1%82%D1%96%D0%B3%D1%96" title="Үшбұрыштың биіктігі">Биіктік</a> • <a href="/wiki/%D0%91%D0%B8%D1%81%D1%81%D0%B5%D0%BA%D1%82%D1%80%D0%B8%D1%81%D0%B0" title="Биссектриса">Биссектриса</a> • <a href="/wiki/%D0%9E%D1%80%D1%82%D0%B0_%D0%BF%D0%B5%D1%80%D0%BF%D0%B5%D0%BD%D0%B4%D0%B8%D0%BA%D1%83%D0%BB%D1%8F%D1%80" title="Орта перпендикуляр">Орта перпендикуляр</a> • <a href="/wiki/%D0%9E%D1%80%D1%82%D0%B0_%D1%81%D1%8B%D0%B7%D1%8B%D2%9B" title="Орта сызық">Орта сызық</a> • <a href="/wiki/%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D2%9B%D0%B0_%D1%96%D1%88%D1%82%D0%B5%D0%B9_%D0%B6%D3%99%D0%BD%D0%B5_%D1%81%D1%8B%D1%80%D1%82%D1%82%D0%B0%D0%B9_%D1%81%D1%8B%D0%B7%D1%8B%D0%BB%D2%93%D0%B0%D0%BD_%D1%88%D0%B5%D2%A3%D0%B1%D0%B5%D1%80%D0%BB%D0%B5%D1%80" title="Үшбұрышқа іштей және сырттай сызылған шеңберлер">Үшбұрышқа іштей және сырттай сызылған шеңберлер</a> • <a href="/wiki/%D0%A1%D0%B8%D0%BC%D1%81%D0%BE%D0%BD_%D1%82%D2%AF%D0%B7%D1%83%D1%96" title="Симсон түзуі">Симсон түзуі</a> • <a href="/wiki/%D0%AD%D0%B9%D0%BB%D0%B5%D1%80_%D1%82%D2%AF%D0%B7%D1%83%D1%96" title="Эйлер түзуі">Эйлер түзуі</a> • <a href="/w/index.php?title=%D0%A1%D0%B8%D0%BC%D0%B5%D0%B4%D0%B8%D0%B0%D0%BD%D0%B0&action=edit&redlink=1" class="new" title="Симедиана (мұндай бет жоқ)">Симедиана</a> • <a href="/w/index.php?title=%D0%A7%D0%B5%D0%B2%D0%B8%D0%B0%D0%BD%D0%B0&action=edit&redlink=1" class="new" title="Чевиана (мұндай бет жоқ)">Чевиана</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group">Үшбұрышқа қатысты нүктелер</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D0%9E%D1%80%D1%82%D0%BE%D1%86%D0%B5%D0%BD%D1%82%D1%80" title="Ортоцентр">Ортоцентр</a> • <a href="/wiki/%D0%A6%D0%B5%D0%BD%D1%82%D1%80%D0%BE%D0%B8%D0%B4" title="Центроид">Центроид</a> • <a href="/wiki/%D0%98%D0%BD%D1%86%D0%B5%D0%BD%D1%82%D1%80" title="Инцентр">Инцентр</a> • <a href="/w/index.php?title=%D0%91%D1%80%D0%BE%D0%BA%D0%B0%D1%80_%D0%BD%D2%AF%D0%BA%D1%82%D0%B5%D1%81%D1%96&action=edit&redlink=1" class="new" title="Брокар нүктесі (мұндай бет жоқ)">Брокар нүктесі</a> • <a href="/w/index.php?title=%D0%92%D0%B5%D0%BA%D1%82%D0%B5%D0%BD_%D0%BD%D2%AF%D0%BA%D1%82%D0%B5%D1%81%D1%96&action=edit&redlink=1" class="new" title="Вектен нүктесі (мұндай бет жоқ)">Вектен нүктесі</a> • <a href="/wiki/%D0%96%D0%B5%D1%80%D0%B3%D0%BE%D0%BD%D0%BD_%D0%BD%D2%AF%D0%BA%D1%82%D0%B5%D1%81%D1%96" title="Жергонн нүктесі">Жергонн нүктесі</a> • <a href="/w/index.php?title=%D0%9B%D0%B5%D0%BC%D1%83%D0%B0%D0%BD_%D0%BD%D2%AF%D0%BA%D1%82%D0%B5%D1%81%D1%96&action=edit&redlink=1" class="new" title="Лемуан нүктесі (мұндай бет жоқ)">Лемуан нүктесі</a> • <a href="/w/index.php?title=%D0%9C%D0%B8%D0%BA%D0%B5%D0%BB%D1%8C_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Микель теоремасы (мұндай бет жоқ)">Микель нүктесі</a> • <a href="/wiki/%D0%9D%D0%B0%D0%B3%D0%B5%D0%BB%D1%8C_%D0%BD%D2%AF%D0%BA%D1%82%D0%B5%D1%81%D1%96" title="Нагель нүктесі">Нагель нүктесі</a> • <a href="/w/index.php?title=%D0%9D%D0%B0%D0%BF%D0%BE%D0%BB%D0%B5%D0%BE%D0%BD_%D0%BD%D2%AF%D0%BA%D1%82%D0%B5%D0%BB%D0%B5%D1%80%D1%96&action=edit&redlink=1" class="new" title="Наполеон нүктелері (мұндай бет жоқ)">Наполеон нүктелері</a> • <a href="/w/index.php?title=%D0%A2%D0%BE%D1%80%D1%80%D0%B8%D1%87%D0%B5%D0%BB%D0%BB%D0%B8_%D0%BD%D2%AF%D0%BA%D1%82%D0%B5%D0%BB%D0%B5%D1%80%D1%96&action=edit&redlink=1" class="new" title="Торричелли нүктелері (мұндай бет жоқ)">Торричелли нүктелері</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group">Теоремалар</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88_%D1%82%D0%B5%D2%A3%D1%81%D1%96%D0%B7%D0%B4%D1%96%D0%B3%D1%96&action=edit&redlink=1" class="new" title="Үшбұрыш теңсіздігі (мұндай бет жоқ)">Үшбұрыш теңсіздігі</a> • <a href="/wiki/%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D0%B0%D1%80%D0%B4%D1%8B%D2%A3_%D2%B1%D2%9B%D1%81%D0%B0%D1%81%D1%82%D1%8B%D2%9B_%D0%B1%D0%B5%D0%BB%D0%B3%D1%96%D0%BB%D0%B5%D1%80%D1%96" title="Үшбұрыштардың ұқсастық белгілері">Үшбұрыштардың ұқсастық белгілері</a> • <a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D1%8B%D2%A3_%D1%81%D1%8B%D1%80%D1%82%D2%9B%D1%8B_%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%8B_%D1%82%D1%83%D1%80%D0%B0%D0%BB%D1%8B_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0&action=edit&redlink=1" class="new" title="Үшбұрыштың сыртқы бұрышы туралы теорема (мұндай бет жоқ)">Үшбұрыштың сыртқы бұрышы туралы теорема</a> • <a href="/w/index.php?title=%D2%AE%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D1%8B%D2%A3_%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D0%B0%D1%80%D1%8B%D0%BD%D1%8B%D2%A3_%D2%9B%D0%BE%D1%81%D1%8B%D0%BD%D0%B4%D1%8B%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Үшбұрыштың бұрыштарының қосындысы (мұндай бет жоқ)">Үшбұрыштың бұрыштарының қосындысы</a> • <a href="/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Пифагор теоремасы">Пифагор теоремасы</a> • <a href="/wiki/%D0%9A%D0%BE%D1%81%D0%B8%D0%BD%D1%83%D1%81%D1%82%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Косинустар теоремасы">Косинустар теоремасы</a> • <a href="/wiki/%D0%A1%D0%B8%D0%BD%D1%83%D1%81%D1%82%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Синустар теоремасы">Синустар теоремасы</a> • <a href="/w/index.php?title=%D0%A2%D0%B0%D0%BD%D0%B3%D0%B5%D0%BD%D1%81%D1%82%D0%B5%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Тангенстер теоремасы (мұндай бет жоқ)">Тангенстер теоремасы</a> • <a href="/w/index.php?title=%D0%9A%D0%BE%D1%82%D0%B0%D0%BD%D0%B3%D0%B5%D0%BD%D1%81%D1%82%D0%B5%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Котангенстер теоремасы (мұндай бет жоқ)">Котангенстер теоремасы</a> • <a href="/wiki/%D0%93%D0%B5%D1%80%D0%BE%D0%BD_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0%D1%81%D1%8B" title="Герон формуласы">Герон формуласы</a> • <a href="/wiki/%D0%9C%D0%B5%D0%BD%D0%B5%D0%BB%D0%B0%D0%B9_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Менелай теоремасы">Менелай теоремасы</a> • <a href="/wiki/%D0%A1%D1%82%D1%8E%D0%B0%D1%80%D1%82_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Стюарт теоремасы">Стюарт теоремасы</a> • <a href="/wiki/%D0%A7%D0%B5%D0%B2%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Чева теоремасы">Чева теоремасы</a> • <a href="/wiki/%D0%9C%D0%BE%D0%BB%D1%8C%D0%B2%D0%B5%D0%B9%D0%B4%D0%B5_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0%D0%BB%D0%B0%D1%80%D1%8B" title="Мольвейде формулалары">Мольвейде формулалары</a></div></td></tr></tbody></table></td></tr></tbody></table> <table class="navbox" style="border-spacing:0;text-align: justify;"><tbody><tr><td style="padding:2px"><table class="nowraplinks collapsible collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2" style="background:#82BCDA"><span style="float:left;text-align:left;width:5em;margin-right:0.5em"><span typeof="mw:File"><a href="/wiki/%D2%AE%D0%BB%D0%B3%D1%96:%D0%9A%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D0%B0%D1%80" title="Бұл үлгіні қарау"><img alt="Бұл үлгіні қарау" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Magnifying_glass_icon.svg/14px-Magnifying_glass_icon.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Magnifying_glass_icon.svg/21px-Magnifying_glass_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/55/Magnifying_glass_icon.svg/28px-Magnifying_glass_icon.svg.png 2x" data-file-width="490" data-file-height="490" /></a></span> <span typeof="mw:File"><a href="/wiki/%D2%AE%D0%BB%D0%B3%D1%96_%D1%82%D0%B0%D0%BB%D2%9B%D1%8B%D0%BB%D0%B0%D1%83%D1%8B:%D0%9A%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D0%B0%D1%80" title="Бұл үлгіні талқылау"><img alt="Бұл үлгіні талқылау" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/14px-Comment_alt_font_awesome.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/21px-Comment_alt_font_awesome.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/28px-Comment_alt_font_awesome.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span> <span typeof="mw:File"><a href="//kk.wikipedia.org/w/index.php?title=%D2%AE%D0%BB%D0%B3%D1%96:%D0%9A%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%82%D0%B0%D1%80&action=edit" title="Бұл үлгіні өңдеу"><img alt="Бұл үлгіні өңдеу" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/16px-Template_alt_full_black_22.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/24px-Template_alt_full_black_22.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/32px-Template_alt_full_black_22.svg.png 2x" data-file-width="160" data-file-height="160" /></a></span></span><div style="font-size:114%"><a href="/wiki/%D0%9A%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Көпбұрыш">Көпбұрыштар</a></div></th></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group" style="background:#82BCDA;text-align: left;">Төбелер саны бойынша</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="padding-left:0em;padding-right:0em;background:#D0F0D0;text-align:left;"><div style="padding:0em 0.75em;">1-10</div></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/w/index.php?title=%D0%91%D1%96%D1%80%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Бірбұрыш (мұндай бет жоқ)">Бірбұрыш</a> • <a href="/w/index.php?title=%D2%9A%D0%BE%D1%81%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Қосбұрыш (мұндай бет жоқ)">Қосбұрыш</a> • <a class="mw-selflink selflink">Үшбұрыш</a> • <a href="/wiki/%D0%A2%D3%A9%D1%80%D1%82%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Төртбұрыш">Төртбұрыш</a> (<a href="/wiki/%D0%94%D0%B5%D0%BB%D1%8C%D1%82%D0%BE%D0%B8%D0%B4" title="Дельтоид">Дельтоид</a>) • <a href="/w/index.php?title=%D0%91%D0%B5%D1%81%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Бесбұрыш (мұндай бет жоқ)">Бесбұрыш</a> • <a href="/w/index.php?title=%D0%90%D0%BB%D1%82%D1%8B%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Алтыбұрыш (мұндай бет жоқ)">Алтыбұрыш</a> • <a href="/w/index.php?title=%D0%96%D0%B5%D1%82%D1%96%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Жетібұрыш (мұндай бет жоқ)">Жетібұрыш</a> • <a href="/w/index.php?title=%D0%A1%D0%B5%D0%B3%D1%96%D0%B7%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Сегізбұрыш (мұндай бет жоқ)">Сегізбұрыш</a> • <a href="/w/index.php?title=%D0%A2%D0%BE%D2%93%D1%8B%D0%B7%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Тоғызбұрыш (мұндай бет жоқ)">Тоғызбұрыш</a> • <a href="/w/index.php?title=%D0%9E%D0%BD%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Онбұрыш (мұндай бет жоқ)">Онбұрыш</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group" style="padding-left:0em;padding-right:0em;background:#D0F0D0;text-align:left;"><div style="padding:0em 0.75em;">11-20</div></th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/w/index.php?title=%D0%9E%D0%BD_%D0%B1%D1%96%D1%80_%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Он бір бұрыш (мұндай бет жоқ)">Он бір бұрыш</a> (Эндекагон) • <a href="/w/index.php?title=%D0%94%D0%BE%D0%B4%D0%B5%D0%BA%D0%B0%D0%B3%D0%BE%D0%BD&action=edit&redlink=1" class="new" title="Додекагон (мұндай бет жоқ)">Он екі бұрыш</a> • <a href="/w/index.php?title=%D0%9F%D0%B5%D0%BD%D1%82%D0%B0%D0%B4%D0%B5%D0%BA%D0%B0%D0%B3%D0%BE%D0%BD&action=edit&redlink=1" class="new" title="Пентадекагон (мұндай бет жоқ)">Он бес бұрыш</a> • <a href="/w/index.php?title=%D0%93%D0%B5%D0%BF%D1%82%D0%B0%D0%B4%D0%B5%D0%BA%D0%B0%D0%B3%D0%BE%D0%BD&action=edit&redlink=1" class="new" title="Гептадекагон (мұндай бет жоқ)">Он жеті бұрыш</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group" style="background:#82BCDA;text-align: left;"><a href="/wiki/%D0%9A%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Көпбұрыш">Дұрыс</a></th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="padding-left:0em;padding-right:0em;background:#D0F0D0;text-align:left;"><div style="padding:0em 0.75em;"><a href="/w/index.php?title=%D0%94%D3%A9%D2%A3%D0%B5%D1%81_%D0%BA%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дөңес көпбұрыш (мұндай бет жоқ)">Дөңес</a></div></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D2%AF%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Дұрыс үшбұрыш">Үшбұрыш</a> • <a href="/wiki/%D0%A8%D0%B0%D1%80%D1%88%D1%8B" title="Шаршы">Төртбұрыш</a> • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D0%B1%D0%B5%D1%81%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс бесбұрыш (мұндай бет жоқ)">Бесбұрыш</a> • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D0%B0%D0%BB%D1%82%D1%8B%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс алтыбұрыш (мұндай бет жоқ)">Алтыбұрыш</a> • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D0%B6%D0%B5%D1%82%D1%96%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс жетібұрыш (мұндай бет жоқ)">Жетібұрыш</a> • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D1%81%D0%B5%D0%B3%D1%96%D0%B7%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс сегізбұрыш (мұндай бет жоқ)">Сегізбұрыш</a> • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D1%82%D0%BE%D2%93%D1%8B%D0%B7%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс тоғызбұрыш (мұндай бет жоқ)">Тоғызбұрыш</a> • ... • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_%D0%BE%D0%BD_%D0%B6%D0%B5%D1%82%D1%96_%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс он жеті бұрыш (мұндай бет жоқ)">17-бұрыш</a> • ... • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_257-%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс 257-бұрыш (мұндай бет жоқ)">257-бұрыш</a> • ... • <a href="/w/index.php?title=%D0%94%D2%B1%D1%80%D1%8B%D1%81_65537-%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дұрыс 65537-бұрыш (мұндай бет жоқ)">65537-бұрыш</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group" style="padding-left:0em;padding-right:0em;background:#D0F0D0;text-align:left;"><div style="padding:0em 0.75em;"><a href="/w/index.php?title=%D0%96%D2%B1%D0%BB%D0%B4%D1%8B%D0%B7%D1%88%D0%B0%D0%BB%D1%8B_%D0%BA%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Жұлдызшалы көпбұрыш (мұндай бет жоқ)">Жұлдызшалы пішінді</a></div></th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/w/index.php?title=%D0%96%D2%B1%D0%BB%D0%B4%D1%8B%D0%B7_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)&action=edit&redlink=1" class="new" title="Жұлдыз (геометрия) (мұндай бет жоқ)">Жұлдыздар</a> (<a href="/wiki/%D0%9F%D0%B5%D0%BD%D1%82%D0%B0%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B0" title="Пентаграмма">Пентаграмма</a> • <a href="/w/index.php?title=%D0%93%D0%B5%D0%BA%D1%81%D0%B0%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B0&action=edit&redlink=1" class="new" title="Гексаграмма (мұндай бет жоқ)">Гексаграмма</a> • <a href="/w/index.php?title=%D0%9E%D0%BA%D1%82%D0%B0%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B0&action=edit&redlink=1" class="new" title="Октаграмма (мұндай бет жоқ)">Октаграмма</a>)</div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group" style="background:#82BCDA;text-align: left;"><a href="/w/index.php?title=%D0%94%D3%A9%D2%A3%D0%B5%D1%81_%D0%BA%D3%A9%D0%BF%D0%B1%D2%B1%D1%80%D1%8B%D1%88&action=edit&redlink=1" class="new" title="Дөңес көпбұрыш (мұндай бет жоқ)">Дөңес</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <p><a href="/wiki/%D0%A2%D3%A9%D1%80%D1%82%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Төртбұрыш">Төртбұрыштар</a>: <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> • <a href="/wiki/%D0%A2%D1%96%D0%BA_%D1%82%D3%A9%D1%80%D1%82%D0%B1%D2%B1%D1%80%D1%8B%D1%88" title="Тік төртбұрыш">Тік төртбұрыш</a> • <a href="/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб">Ромб</a> • <a href="/wiki/%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F" title="Трапеция">Трапеция</a><br /> </p> <a href="/w/index.php?title=%D0%9F%D0%BB%D0%B0%D0%BD%D0%B8%D0%B3%D0%BE%D0%BD&action=edit&redlink=1" class="new" title="Планигон (мұндай бет жоқ)">Планигон</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group" style="background:#82BCDA;text-align: left;">Тағы қараңыз</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> Теория және практика: <a 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