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Прочитајте ги правилата и вклучете се!\n\u003C/p\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Мрежно место"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Содржина" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Содржина</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">премести во страничникот</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">скриј</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Почеток</div> </a> </li> <li id="toc-Висина_кај_различни_видови_триаголници" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Висина_кај_различни_видови_триаголници"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Висина кај различни видови триаголници</span> </div> </a> <button aria-controls="toc-Висина_кај_различни_видови_триаголници-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>Префрли на пододделот Висина кај различни видови триаголници</span> </button> <ul id="toc-Висина_кај_различни_видови_триаголници-sublist" class="vector-toc-list"> <li id="toc-Висина_кај_правоаголен_триаголник" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Висина_кај_правоаголен_триаголник"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Висина кај правоаголен триаголник</span> </div> </a> <ul id="toc-Висина_кај_правоаголен_триаголник-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Висина_кај_рамнокрак_триаголник" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Висина_кај_рамнокрак_триаголник"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Висина кај рамнокрак триаголник</span> </div> </a> <ul id="toc-Висина_кај_рамнокрак_триаголник-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Ортоцентар" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ортоцентар"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Ортоцентар</span> </div> </a> <button aria-controls="toc-Ортоцентар-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>Префрли на пододделот Ортоцентар</span> </button> <ul id="toc-Ортоцентар-sublist" class="vector-toc-list"> <li id="toc-Ортоцентричен_систем" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ортоцентричен_систем"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Ортоцентричен систем</span> </div> </a> <ul id="toc-Ортоцентричен_систем-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Херонова_формула" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Херонова_формула"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Херонова формула</span> </div> </a> <ul id="toc-Херонова_формула-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Наводи" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Наводи"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Наводи</span> </div> </a> <ul id="toc-Наводи-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="Содржина" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Прик./скр. содржина" > <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">Прик./скр. содржина</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">Висина на триаголник</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="Појдете на статија на друг јазик. Достапно на 35 јазици" > <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-35" 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">35 јазици</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D8%B1%D8%AA%D9%81%D8%A7%D8%B9_(%D9%85%D8%AB%D9%84%D8%AB)" title="ارتفاع (مثلث) — арапски" lang="ar" hreflang="ar" data-title="ارتفاع (مثلث)" data-language-autonym="العربية" data-language-local-name="арапски" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%92%D1%8B%D1%88%D1%8B%D0%BD%D1%8F_%D1%82%D1%80%D0%BE%D1%85%D0%B2%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D1%96%D0%BA%D0%B0" title="Вышыня трохвугольніка — белоруски" lang="be" hreflang="be" data-title="Вышыня трохвугольніка" data-language-autonym="Беларуская" data-language-local-name="белоруски" 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%92%D1%8B%D1%88%D1%8B%D0%BD%D1%8F_%D1%82%D1%80%D1%8B%D0%BA%D1%83%D1%82%D0%BD%D1%96%D0%BA%D1%83" title="Вышыня трыкутніку — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Вышыня трыкутніку" 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%92%D0%B8%D1%81%D0%BE%D1%87%D0%B8%D0%BD%D0%B0_(%D1%82%D1%80%D0%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%B8%D0%BA)" title="Височина (триъгълник) — бугарски" lang="bg" hreflang="bg" data-title="Височина (триъгълник)" data-language-autonym="Български" data-language-local-name="бугарски" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Visina_trougla" title="Visina trougla — босански" lang="bs" hreflang="bs" data-title="Visina trougla" data-language-autonym="Bosanski" data-language-local-name="босански" class="interlanguage-link-target"><span>Bosanski</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_%C3%A7%D3%B3%D0%BB%D0%BB%C4%95%D1%88%C4%95" title="Виçкĕтеслĕх çӳллĕшĕ — чувашки" lang="cv" hreflang="cv" data-title="Виçкĕтеслĕх çӳллĕшĕ" data-language-autonym="Чӑвашла" data-language-local-name="чувашки" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%8E%CF%88%CE%BF%CF%82_%CF%84%CF%81%CE%B9%CE%B3%CF%8E%CE%BD%CE%BF%CF%85" title="Ύψος τριγώνου — грчки" lang="el" hreflang="el" data-title="Ύψος τριγώνου" data-language-autonym="Ελληνικά" data-language-local-name="грчки" 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/Altitude_(triangle)" title="Altitude (triangle) — англиски" lang="en" hreflang="en" data-title="Altitude (triangle)" data-language-autonym="English" data-language-local-name="англиски" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Altura_(tri%C3%A1ngulo)" title="Altura (triángulo) — шпански" lang="es" hreflang="es" data-title="Altura (triángulo)" data-language-autonym="Español" data-language-local-name="шпански" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Alto_(triangulo)" title="Alto (triangulo) — есперанто" lang="eo" hreflang="eo" data-title="Alto (triangulo)" data-language-autonym="Esperanto" data-language-local-name="есперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B1%D8%AA%D9%81%D8%A7%D8%B9_(%D9%85%D8%AB%D9%84%D8%AB)" title="ارتفاع (مثلث) — персиски" lang="fa" hreflang="fa" data-title="ارتفاع (مثلث)" data-language-autonym="فارسی" data-language-local-name="персиски" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Hauteur_d%27un_triangle" title="Hauteur d'un triangle — француски" lang="fr" hreflang="fr" data-title="Hauteur d'un triangle" data-language-autonym="Français" data-language-local-name="француски" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Altura_(tri%C3%A1ngulo)" title="Altura (triángulo) — галициски" lang="gl" hreflang="gl" data-title="Altura (triángulo)" data-language-autonym="Galego" data-language-local-name="галициски" class="interlanguage-link-target"><span>Galego</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%A1%D5%B6_%D5%A2%D5%A1%D6%80%D5%B1%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Եռանկյան բարձրություն — ерменски" lang="hy" hreflang="hy" data-title="Եռանկյան բարձրություն" data-language-autonym="Հայերեն" data-language-local-name="ерменски" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B6%E0%A5%80%E0%A4%B0%E0%A5%8D%E0%A4%B7%E0%A4%B2%E0%A4%AE%E0%A5%8D%E0%A4%AC_(%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%81%E0%A4%9C)" title="शीर्षलम्ब (त्रिभुज) — хинди" lang="hi" hreflang="hi" data-title="शीर्षलम्ब (त्रिभुज)" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Garis_tinggi_segitiga" title="Garis tinggi segitiga — индонезиски" lang="id" hreflang="id" data-title="Garis tinggi segitiga" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезиски" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Trijst%C5%ABra_augstums" title="Trijstūra augstums — латвиски" lang="lv" hreflang="lv" data-title="Trijstūra augstums" data-language-autonym="Latviešu" data-language-local-name="латвиски" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Auk%C5%A1tin%C4%97_(trikampis)" title="Aukštinė (trikampis) — литвански" lang="lt" hreflang="lt" data-title="Aukštinė (trikampis)" data-language-autonym="Lietuvių" data-language-local-name="литвански" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/H%C3%A1romsz%C3%B6g_magass%C3%A1ga" title="Háromszög magassága — унгарски" lang="hu" hreflang="hu" data-title="Háromszög magassága" data-language-autonym="Magyar" data-language-local-name="унгарски" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Hoogtelijn_(driehoek)" title="Hoogtelijn (driehoek) — холандски" lang="nl" hreflang="nl" data-title="Hoogtelijn (driehoek)" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%A0%82%E5%9E%82%E7%B7%9A_(%E4%B8%89%E8%A7%92%E5%BD%A2)" title="頂垂線 (三角形) — јапонски" lang="ja" hreflang="ja" data-title="頂垂線 (三角形)" data-language-autonym="日本語" data-language-local-name="јапонски" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%80%E1%9E%98%E1%9F%92%E1%9E%96%E1%9E%9F%E1%9F%8B%E1%9E%8F%E1%9F%92%E1%9E%9A%E1%9E%B8%E1%9E%80%E1%9F%84%E1%9E%8E" title="កម្ពស់ត្រីកោណ — кмерски" lang="km" hreflang="km" data-title="កម្ពស់ត្រីកោណ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="кмерски" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Wysoko%C5%9B%C4%87_tr%C3%B3jk%C4%85ta" title="Wysokość trójkąta — полски" lang="pl" hreflang="pl" data-title="Wysokość trójkąta" data-language-autonym="Polski" data-language-local-name="полски" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%92%D1%8B%D1%81%D0%BE%D1%82%D0%B0_%D1%82%D1%80%D0%B5%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA%D0%B0" title="Высота треугольника — руски" lang="ru" hreflang="ru" data-title="Высота треугольника" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/V%C3%BD%C5%A1ka_trojuholn%C3%ADka" title="Výška trojuholníka — словачки" lang="sk" hreflang="sk" data-title="Výška trojuholníka" data-language-autonym="Slovenčina" data-language-local-name="словачки" 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/Vi%C5%A1ina_trikotnika" title="Višina trikotnika — словенечки" lang="sl" hreflang="sl" data-title="Višina trikotnika" data-language-autonym="Slovenščina" data-language-local-name="словенечки" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Wy%C5%BCka_trzieka" title="Wyżka trzieka — шлезиски" lang="szl" hreflang="szl" data-title="Wyżka trzieka" data-language-autonym="Ślůnski" data-language-local-name="шлезиски" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%DB%95%D8%B1%D8%B2%DB%8C_(%D8%B3%DB%8E%DA%AF%DB%86%D8%B4%DB%95)" title="بەرزی (سێگۆشە) — централнокурдски" lang="ckb" hreflang="ckb" data-title="بەرزی (سێگۆشە)" data-language-autonym="کوردی" data-language-local-name="централнокурдски" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D1%82%D1%80%D0%BE%D1%83%D0%B3%D0%BB%D0%B0" title="Висина троугла — српски" lang="sr" hreflang="sr" data-title="Висина троугла" data-language-autonym="Српски / srpski" data-language-local-name="српски" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Visina_trougla" title="Visina trougla — српскохрватски" lang="sh" hreflang="sh" data-title="Visina trougla" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="српскохрватски" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AF%81%E0%AE%A4%E0%AF%8D%E0%AE%A4%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%8B%E0%AE%9F%E0%AF%81_(%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="குத்துக்கோடு (முக்கோணம்) — тамилски" lang="ta" hreflang="ta" data-title="குத்துக்கோடு (முக்கோணம்)" data-language-autonym="தமிழ்" data-language-local-name="тамилски" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Y%C3%BCkseklik_(%C3%BC%C3%A7gen)" title="Yükseklik (üçgen) — турски" lang="tr" hreflang="tr" data-title="Yükseklik (üçgen)" data-language-autonym="Türkçe" data-language-local-name="турски" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D0%B8%D1%81%D0%BE%D1%82%D0%B0_%D1%82%D1%80%D0%B8%D0%BA%D1%83%D1%82%D0%BD%D0%B8%D0%BA%D0%B0" title="Висота трикутника — украински" lang="uk" hreflang="uk" data-title="Висота трикутника" data-language-autonym="Українська" data-language-local-name="украински" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%A7%D8%B1%D8%AA%D9%81%D8%A7%D8%B9_(%D9%85%D8%AB%D9%84%D8%AB)" title="ارتفاع (مثلث) — урду" lang="ur" hreflang="ur" data-title="ارتفاع (مثلث)" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%C6%B0%E1%BB%9Dng_cao_(tam_gi%C3%A1c)" title="Đường cao (tam giác) — виетнамски" lang="vi" hreflang="vi" data-title="Đường cao (tam giác)" data-language-autonym="Tiếng Việt" data-language-local-name="виетнамски" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q339495#sitelinks-wikipedia" title="Уредување на меѓујазични врски" class="wbc-editpage">Уреди врски</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Именски простори"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet 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class="vector-dropdown-checkbox " aria-label="Менување на јазичната варијанта" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">македонски</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Посети"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA"><span>Читај</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit" title="Уредете ја страницава [v]" accesskey="v"><span>Уреди</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit" title="Уредување на изворниот код на страницава [e]" accesskey="e"><span>Уреди извор</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=history" title="Претходни верзии на 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[h]" accesskey="h"><span>Историја</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Алатки за страници"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="алатник" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">алатник</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Алатки</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">премести во страничникот</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">скриј</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Повеќе можности" > <div class="vector-menu-heading"> Дејства </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA"><span>Читај</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit" title="Уредете ја страницава [v]" accesskey="v"><span>Уреди</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit" title="Уредување на изворниот код на страницава [e]" accesskey="e"><span>Уреди извор</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a 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href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D1%98%D0%B0%D0%BB%D0%BD%D0%B0:%D0%9F%D0%BE%D0%B2%D1%80%D0%B7%D0%B0%D0%BD%D0%B8%D0%9F%D1%80%D0%BE%D0%BC%D0%B5%D0%BD%D0%B8/%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" rel="nofollow" title="Скорешни промени на страници со врски на оваа страница [k]" accesskey="k"><span>Поврзани промени</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D1%98%D0%B0%D0%BB%D0%BD%D0%B0:%D0%A1%D0%BB%D1%83%D0%B6%D0%B1%D0%B5%D0%BD%D0%B8%D0%A1%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B8" title="Список на сите службени страници [q]" accesskey="q"><span>Службени страници</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&oldid=5215677" title="Постојана врска до оваа преработка на страницата"><span>Постојана 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data-event-name="pinnable-header.vector-appearance.unpin">скриј</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Од Википедија — слободната енциклопедија</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="mk" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%9F%D0%BE%D0%B4%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Altitudes_and_orthic_triangle_SVG.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Altitudes_and_orthic_triangle_SVG.svg/300px-Altitudes_and_orthic_triangle_SVG.svg.png" decoding="async" width="300" height="255" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Altitudes_and_orthic_triangle_SVG.svg/450px-Altitudes_and_orthic_triangle_SVG.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Altitudes_and_orthic_triangle_SVG.svg/600px-Altitudes_and_orthic_triangle_SVG.svg.png 2x" data-file-width="697" data-file-height="592" /></a><figcaption>Со црвена боја се прикажани трите висини на остроаголен триаголник ABC.</figcaption></figure> <p><b>Висина на триаголник</b> – отсечка со една крајна точка во едно <a href="/wiki/%D0%A2%D0%B5%D0%BC%D0%B5_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0)" title="Теме (геометрија)">теме</a> на <a href="/wiki/%D0%A2%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" title="Триаголник">триаголник</a> и друга крајна точка на спротивната страна на темето така што таа отсечка со спротивната страна зафаќа <a href="/wiki/%D0%9F%D1%80%D0%B0%D0%B2_%D0%B0%D0%B3%D0%BE%D0%BB" title="Прав агол">прав агол</a>.<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> Висината има должина еднаква на растојанието од темето до спротивната страна. Висината обично се обележува со <a href="/wiki/%D0%9B%D0%B0%D1%82%D0%B8%D0%BD%D0%B8%D1%86%D0%B0" title="Латиница">латиничната</a> буква h. Се вели дека висината од теме е нормална (перпендикуларна) на спротивната страна од темето, а страната се нарекува основа. Пресекот на висината и основата се нарекува подножје или на висината. Должината на висината е растојанието меѓу темето на триаголникот и подножјето на висината. </p><p>Во секој триаголник може да се конструираат три висини. Пресекот на трите висини во триаголникот се нарекува <a href="/w/index.php?title=%D0%9E%D1%80%D1%82%D0%BE%D1%86%D0%B5%D0%BD%D1%82%D0%B0%D1%80&action=edit&redlink=1" class="new" title="Ортоцентар (страницата не постои)">ортоцентар</a>. </p><p>Висината на триаголник може да се користи за пресметување на <a href="/wiki/%D0%9F%D0%BB%D0%BE%D1%88%D1%82%D0%B8%D0%BD%D0%B0" title="Плоштина">плоштината</a> на триаголникот која е еднаква на половина од производот на основата и висината: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P={\frac {a\cdot h_{a}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>⋅</mo> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P={\frac {a\cdot h_{a}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fd05ced1cc4cdc4c820e92d253ff87b6bbebfc32" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.03ex; height:5.343ex;" alt="{\displaystyle P={\frac {a\cdot h_{a}}{2}}}"></span> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Висина_кај_различни_видови_триаголници"><span id=".D0.92.D0.B8.D1.81.D0.B8.D0.BD.D0.B0_.D0.BA.D0.B0.D1.98_.D1.80.D0.B0.D0.B7.D0.BB.D0.B8.D1.87.D0.BD.D0.B8_.D0.B2.D0.B8.D0.B4.D0.BE.D0.B2.D0.B8_.D1.82.D1.80.D0.B8.D0.B0.D0.B3.D0.BE.D0.BB.D0.BD.D0.B8.D1.86.D0.B8"></span>Висина кај различни видови триаголници</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit&section=1" title="Уреди го одделот „Висина кај различни видови триаголници“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&section=1" title="Уреди изворен код на одделот: Висина кај различни видови триаголници"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Висина_кај_правоаголен_триаголник"><span id=".D0.92.D0.B8.D1.81.D0.B8.D0.BD.D0.B0_.D0.BA.D0.B0.D1.98_.D0.BF.D1.80.D0.B0.D0.B2.D0.BE.D0.B0.D0.B3.D0.BE.D0.BB.D0.B5.D0.BD_.D1.82.D1.80.D0.B8.D0.B0.D0.B3.D0.BE.D0.BB.D0.BD.D0.B8.D0.BA"></span>Висина кај правоаголен триаголник</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit&section=2" title="Уреди го одделот „Висина кај правоаголен триаголник“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&section=2" title="Уреди изворен код на одделот: Висина кај правоаголен триаголник"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Кај <a href="/wiki/%D0%9F%D1%80%D0%B0%D0%B2%D0%BE%D0%B0%D0%B3%D0%BE%D0%BB%D0%B5%D0%BD_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" title="Правоаголен триаголник">правоаголен триаголник</a> две висини се поклопуваат со <a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D1%82%D0%B0" title="Катета">катетите</a>, а третата висина ја дели <a href="/wiki/%D0%A5%D0%B8%D0%BF%D0%BE%D1%82%D0%B5%D0%BD%D1%83%D0%B7%D0%B0" title="Хипотенуза">хипотенузата</a> на отсечки со должини p и q. Формулата која ги поврзува со висната која ги определува е: </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 h={\sqrt {pq}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>p</mi> <mi>q</mi> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h={\sqrt {pq}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/67afa541c33275112d35845236de4ead8b536a39" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:8.612ex; height:3.009ex;" alt="{\displaystyle h={\sqrt {pq}}}"></span>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Висина_кај_рамнокрак_триаголник"><span id=".D0.92.D0.B8.D1.81.D0.B8.D0.BD.D0.B0_.D0.BA.D0.B0.D1.98_.D1.80.D0.B0.D0.BC.D0.BD.D0.BE.D0.BA.D1.80.D0.B0.D0.BA_.D1.82.D1.80.D0.B8.D0.B0.D0.B3.D0.BE.D0.BB.D0.BD.D0.B8.D0.BA"></span>Висина кај рамнокрак триаголник</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit&section=3" title="Уреди го одделот „Висина кај рамнокрак триаголник“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&section=3" title="Уреди изворен код на одделот: Висина кај рамнокрак триаголник"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Кај <a href="/wiki/%D0%A0%D0%B0%D0%BC%D0%BD%D0%BE%D0%BA%D1%80%D0%B0%D0%BA_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" title="Рамнокрак триаголник">рамнокрак триаголник</a> подножјето на висината се поклопува со средината на основата. Во овој случај висината се поклопува со симетралата на аголот и симетралата на основата. </p> <div class="mw-heading mw-heading2"><h2 id="Ортоцентар"><span id=".D0.9E.D1.80.D1.82.D0.BE.D1.86.D0.B5.D0.BD.D1.82.D0.B0.D1.80"></span>Ортоцентар</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit&section=4" title="Уреди го одделот „Ортоцентар“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&section=4" title="Уреди изворен код на одделот: Ортоцентар"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/w/index.php?title=%D0%9E%D1%80%D1%82%D0%BE%D1%86%D0%B5%D0%BD%D1%82%D0%B0%D1%80&action=edit&redlink=1" class="new" title="Ортоцентар (страницата не постои)">Ортоцентар</a> на триаголник е точка во која се сечат трите висини на тој триаголник. Ортоцентарот е во внатрешноста на триаголникот ако и само ако триаголникот е <a href="/w/index.php?title=%D0%9E%D1%81%D1%82%D1%80%D0%BE%D0%B0%D0%B3%D0%BE%D0%BB%D0%B5%D0%BD_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&redlink=1" class="new" title="Остроаголен триаголник (страницата не постои)">остроаголен</a>. Кај правоаголен триаголник, ортоцентарот се наоѓа во темето кај правиот агол, додека кај тапоаголен триаголник ортоцентарот се наоѓа надвор од триаголникот.<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-heading3"><h3 id="Ортоцентричен_систем"><span id=".D0.9E.D1.80.D1.82.D0.BE.D1.86.D0.B5.D0.BD.D1.82.D1.80.D0.B8.D1.87.D0.B5.D0.BD_.D1.81.D0.B8.D1.81.D1.82.D0.B5.D0.BC"></span>Ортоцентричен систем</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit&section=5" title="Уреди го одделот „Ортоцентричен систем“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&section=5" title="Уреди изворен код на одделот: Ортоцентричен систем"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/w/index.php?title=%D0%9E%D1%80%D1%82%D0%BE%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%87%D0%B5%D0%BD_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC&action=edit&redlink=1" class="new" title="Ортоцентричен систем (страницата не постои)">Ортоцентричниот систем</a> е систем од четири точки во рамнина - <a href="/w/index.php?title=%D0%9E%D1%80%D1%82%D0%BE%D1%86%D0%B5%D0%BD%D1%82%D0%B0%D1%80&action=edit&redlink=1" class="new" title="Ортоцентар (страницата не постои)">ортоцентарот</a> на триаголник (<i>H</i>) заедно со трите негови темиња (A, B и C). </p><p>За четирите точки во ортоцентричниот систем карактеристично е дека во исто време секоја од нив е ортоцентар за триаголникот кој го образуваат преостанатите три точки како негови темиња. Вака дефинираните четири триаголници: <i>ABC</i>, <i>АBH</i>, <i>ACH</i> и <i>BCH</i> имаат заедничка <a href="/wiki/%D0%9E%D1%98%D0%BB%D0%B5%D1%80%D0%BE%D0%B2%D0%B0_%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%B8%D1%86%D0%B0" title="Ојлерова кружница">Ојлерова кружница</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Херонова_формула"><span id=".D0.A5.D0.B5.D1.80.D0.BE.D0.BD.D0.BE.D0.B2.D0.B0_.D1.84.D0.BE.D1.80.D0.BC.D1.83.D0.BB.D0.B0"></span>Херонова формула</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit&section=6" title="Уреди го одделот „Херонова формула“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&section=6" title="Уреди изворен код на одделот: Херонова формула"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%D0%A5%D0%B5%D1%80%D0%BE%D0%BD%D0%BE%D0%B2%D0%B0_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0" title="Херонова формула">Хероновата формула</a> е формула за пресметување на должината на висината на триаголник кога се познати должините на сите три страни. </p><p>Во триаголникот <i>ABC</i> во кој должините на страните се <i>a, b</i> и <i>c</i>, а со <i>s</i> е означен полупериметарот <i>s</i> = (<i>a+b+c</i>) / 2, висината нормална на страната <i>a</i> се пресметува по формулата<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>: </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 h_{a}={\frac {2{\sqrt {s(s-a)(s-b)(s-c)}}}{a}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>s</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mi>c</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> </mrow> <mi>a</mi> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h_{a}={\frac {2{\sqrt {s(s-a)(s-b)(s-c)}}}{a}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/76991db8cb127b50175bcd1228093fb9526a0075" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:32.054ex; height:6.176ex;" alt="{\displaystyle h_{a}={\frac {2{\sqrt {s(s-a)(s-b)(s-c)}}}{a}}.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Наводи"><span id=".D0.9D.D0.B0.D0.B2.D0.BE.D0.B4.D0.B8"></span>Наводи</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&veaction=edit&section=7" title="Уреди го одделот „Наводи“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%92%D0%B8%D1%81%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA&action=edit&section=7" title="Уреди изворен код на одделот: Наводи"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://math.about.com/od/glossaryofterms/g/Definition-Of-Altitude.htm">The Definition of Altitude in Math. Altitude of a triangle</a></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.mathopenref.com/triangleorthocenter.html">Orthocenter of a triangle - math word definition - Math Open Reference</a></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20160412131206/http://gujarat-education.gov.in/textbook/Images/9sem2/maths-9eng/chap14.pdf">„архивски примерок“</a> <span class="cs1-format">(PDF)</span>. Архивирано од <a rel="nofollow" class="external text" href="http://gujarat-education.gov.in/textbook/Images/9sem2/maths-9eng/chap14.pdf">изворникот</a> <span class="cs1-format">(PDF)</span> на 2016-04-12<span class="reference-accessdate">. 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