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Triangolo equilatero - Wikipedia

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class="vector-toc-link" href="#Formule"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Formule</span> </div> </a> <button aria-controls="toc-Formule-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>Attiva/disattiva la sottosezione Formule</span> </button> <ul id="toc-Formule-sublist" class="vector-toc-list"> <li id="toc-Perimetro" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Perimetro"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Perimetro</span> </div> </a> <ul id="toc-Perimetro-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Area" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Area"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Area</span> </div> </a> <ul id="toc-Area-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Applicazioni_del_teorema_di_Pitagora" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Applicazioni_del_teorema_di_Pitagora"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Applicazioni del teorema di Pitagora</span> </div> </a> <ul id="toc-Applicazioni_del_teorema_di_Pitagora-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Circonferenza_inscritta_e_circoscritta" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Circonferenza_inscritta_e_circoscritta"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Circonferenza inscritta e circoscritta</span> </div> </a> <ul id="toc-Circonferenza_inscritta_e_circoscritta-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Note" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Note"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Note</span> </div> </a> <ul id="toc-Note-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Voci_correlate" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Voci_correlate"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Voci correlate</span> </div> </a> <ul id="toc-Voci_correlate-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Altri_progetti" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Altri_progetti"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Altri progetti</span> </div> </a> <ul id="toc-Altri_progetti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Collegamenti_esterni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Collegamenti_esterni"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Collegamenti esterni</span> </div> </a> <ul id="toc-Collegamenti_esterni-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="Indice" 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="Mostra/Nascondi l&#039;indice" > <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">Mostra/Nascondi l&#039;indice</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">Triangolo equilatero</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="Vai a una voce in un&#039;altra lingua. Disponibile in 76 lingue" > <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-76" 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">76 lingue</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/%D9%85%D8%AB%D9%84%D8%AB_%D9%85%D8%AA%D8%B3%D8%A7%D9%88%D9%8A_%D8%A7%D9%84%D8%A3%D8%B6%D9%84%D8%A7%D8%B9" title="مثلث متساوي الأضلاع - arabo" lang="ar" hreflang="ar" data-title="مثلث متساوي الأضلاع" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%B8%E0%A6%AE%E0%A6%AC%E0%A6%BE%E0%A6%B9%E0%A7%81_%E0%A6%A4%E0%A7%8D%E0%A7%B0%E0%A6%BF%E0%A6%AD%E0%A7%81%E0%A6%9C" title="সমবাহু ত্ৰিভুজ - assamese" lang="as" hreflang="as" data-title="সমবাহু ত্ৰিভুজ" data-language-autonym="অসমীয়া" data-language-local-name="assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/D%C3%BCzg%C3%BCn_%C3%BC%C3%A7bucaq" title="Düzgün üçbucaq - azerbaigiano" lang="az" hreflang="az" data-title="Düzgün üçbucaq" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" 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%AF%D9%88%D8%B2%DA%AF%D9%88%D9%86_%D8%A7%D9%88%DA%86%DA%AF%D9%86" title="دوزگون اوچگن - South Azerbaijani" lang="azb" hreflang="azb" data-title="دوزگون اوچگن" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Gleichseitades_Dreieck" title="Gleichseitades Dreieck - bavarese" lang="bar" hreflang="bar" data-title="Gleichseitades Dreieck" data-language-autonym="Boarisch" data-language-local-name="bavarese" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B2%D0%BD%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B5%D0%BD_%D1%82%D1%80%D0%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%B8%D0%BA" title="Равностранен триъгълник - bulgaro" lang="bg" hreflang="bg" data-title="Равностранен триъгълник" data-language-autonym="Български" data-language-local-name="bulgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A6%AE%E0%A6%AC%E0%A6%BE%E0%A6%B9%E0%A7%81_%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%BF%E0%A6%AD%E0%A7%81%E0%A6%9C" title="সমবাহু ত্রিভুজ - bengalese" lang="bn" hreflang="bn" data-title="সমবাহু ত্রিভুজ" data-language-autonym="বাংলা" data-language-local-name="bengalese" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Jednakostrani%C4%8Dni_trougao" title="Jednakostranični trougao - bosniaco" lang="bs" hreflang="bs" data-title="Jednakostranični trougao" data-language-autonym="Bosanski" data-language-local-name="bosniaco" 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_equil%C3%A0ter" title="Triangle equilàter - catalano" lang="ca" hreflang="ca" data-title="Triangle equilàter" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B3%DB%8E%DA%AF%DB%86%D8%B4%DB%95%DB%8C_%DA%95%DB%8E%DA%A9" title="سێگۆشەی ڕێک - curdo centrale" lang="ckb" hreflang="ckb" data-title="سێگۆشەی ڕێک" data-language-autonym="کوردی" data-language-local-name="curdo centrale" 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_equilateru" title="Triangulu equilateru - corso" lang="co" hreflang="co" data-title="Triangulu equilateru" data-language-autonym="Corsu" data-language-local-name="corso" 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/Rovnostrann%C3%BD_troj%C3%BAheln%C3%ADk" title="Rovnostranný trojúhelník - ceco" lang="cs" hreflang="cs" data-title="Rovnostranný trojúhelník" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A2%C4%95%D1%80%C4%95%D1%81_%D0%B2%D0%B8%C3%A7%D0%BA%C4%95%D1%82%D0%B5%D1%81%D0%BB%C4%95%D1%85" title="Тĕрĕс виçкĕтеслĕх - ciuvascio" lang="cv" hreflang="cv" data-title="Тĕрĕс виçкĕтеслĕх" data-language-autonym="Чӑвашла" data-language-local-name="ciuvascio" 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_hafalochrog" title="Triongl hafalochrog - gallese" lang="cy" hreflang="cy" data-title="Triongl hafalochrog" data-language-autonym="Cymraeg" data-language-local-name="gallese" 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/Ligesidet_trekant" title="Ligesidet trekant - danese" lang="da" hreflang="da" data-title="Ligesidet trekant" data-language-autonym="Dansk" data-language-local-name="danese" 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/Gleichseitiges_Dreieck" title="Gleichseitiges Dreieck - tedesco" lang="de" hreflang="de" data-title="Gleichseitiges Dreieck" data-language-autonym="Deutsch" data-language-local-name="tedesco" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%99%CF%83%CF%8C%CF%80%CE%BB%CE%B5%CF%85%CF%81%CE%BF_%CF%84%CF%81%CE%AF%CE%B3%CF%89%CE%BD%CE%BF" title="Ισόπλευρο τρίγωνο - greco" lang="el" hreflang="el" data-title="Ισόπλευρο τρίγωνο" data-language-autonym="Ελληνικά" data-language-local-name="greco" 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/Equilateral_triangle" title="Equilateral triangle - inglese" lang="en" hreflang="en" data-title="Equilateral triangle" data-language-autonym="English" data-language-local-name="inglese" 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/Egallatera_triangulo" title="Egallatera triangulo - esperanto" lang="eo" hreflang="eo" data-title="Egallatera triangulo" data-language-autonym="Esperanto" data-language-local-name="esperanto" 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_equil%C3%A1tero" title="Triángulo equilátero - spagnolo" lang="es" hreflang="es" data-title="Triángulo equilátero" data-language-autonym="Español" data-language-local-name="spagnolo" 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/V%C3%B5rdk%C3%BClgne_kolmnurk" title="Võrdkülgne kolmnurk - estone" lang="et" hreflang="et" data-title="Võrdkülgne kolmnurk" data-language-autonym="Eesti" data-language-local-name="estone" 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_aldeberdin" title="Triangelu aldeberdin - basco" lang="eu" hreflang="eu" data-title="Triangelu aldeberdin" data-language-autonym="Euskara" data-language-local-name="basco" 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_%D9%85%D8%AA%D8%B3%D8%A7%D9%88%DB%8C%E2%80%8C%D8%A7%D9%84%D8%A7%D8%B6%D9%84%D8%A7%D8%B9" title="مثلث متساوی‌الاضلاع - persiano" lang="fa" hreflang="fa" data-title="مثلث متساوی‌الاضلاع" data-language-autonym="فارسی" data-language-local-name="persiano" 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/Tasasivuinen_kolmio" title="Tasasivuinen kolmio - finlandese" lang="fi" hreflang="fi" data-title="Tasasivuinen kolmio" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Triangle_%C3%A9quilat%C3%A9ral" title="Triangle équilatéral - francese" lang="fr" hreflang="fr" data-title="Triangle équilatéral" data-language-autonym="Français" data-language-local-name="francese" 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/Tri%C3%A1ngulo_equil%C3%A1tero" title="Triángulo equilátero - galiziano" lang="gl" hreflang="gl" data-title="Triángulo equilátero" data-language-autonym="Galego" data-language-local-name="galiziano" class="interlanguage-link-target"><span>Galego</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_%D7%A9%D7%95%D7%95%D7%94-%D7%A6%D7%9C%D7%A2%D7%95%D7%AA" title="משולש שווה-צלעות - ebraico" lang="he" hreflang="he" data-title="משולש שווה-צלעות" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%AC%E0%A4%BE%E0%A4%B9%E0%A5%81_%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%81%E0%A4%9C" title="समबाहु त्रिभुज - hindi" lang="hi" hreflang="hi" data-title="समबाहु त्रिभुज" data-language-autonym="हिन्दी" data-language-local-name="hindi" 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/Jednakostrani%C4%8Dni_trokut" title="Jednakostranični trokut - croato" lang="hr" hreflang="hr" data-title="Jednakostranični trokut" data-language-autonym="Hrvatski" data-language-local-name="croato" 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/Runob%C3%B3%C4%8Dny_t%C5%99ir%C3%B3%C5%BEk" title="Runobóčny třiróžk - alto sorabo" lang="hsb" hreflang="hsb" data-title="Runobóčny třiróžk" data-language-autonym="Hornjoserbsce" data-language-local-name="alto sorabo" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BF%D5%A1%D5%B6%D5%B8%D5%B6%D5%A1%D5%BE%D5%B8%D6%80_%D5%A5%D5%BC%D5%A1%D5%B6%D5%AF%D5%B5%D5%B8%D6%82%D5%B6" title="Կանոնավոր եռանկյուն - armeno" lang="hy" hreflang="hy" data-title="Կանոնավոր եռանկյուն" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Segitiga_sama_sisi" title="Segitiga sama sisi - indonesiano" lang="id" hreflang="id" data-title="Segitiga sama sisi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Jafnhli%C3%B0a_%C3%BEr%C3%ADhyrningur" title="Jafnhliða þríhyrningur - islandese" lang="is" hreflang="is" data-title="Jafnhliða þríhyrningur" data-language-autonym="Íslenska" data-language-local-name="islandese" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%AD%A3%E4%B8%89%E8%A7%92%E5%BD%A2" title="正三角形 - giapponese" lang="ja" hreflang="ja" data-title="正三角形" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A2%E1%83%9D%E1%83%9A%E1%83%92%E1%83%95%E1%83%94%E1%83%A0%E1%83%93%E1%83%90_%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="ტოლგვერდა სამკუთხედი - georgiano" lang="ka" hreflang="ka" data-title="ტოლგვერდა სამკუთხედი" data-language-autonym="ქართული" data-language-local-name="georgiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%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 - kazako" lang="kk" hreflang="kk" data-title="Дұрыс үшбұрыш" data-language-autonym="Қазақша" data-language-local-name="kazako" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%8F%E1%9F%92%E1%9E%9A%E1%9E%B8%E1%9E%80%E1%9F%84%E1%9E%8E%E1%9E%9F%E1%9E%98%E1%9F%90%E1%9E%84%E1%9F%92%E1%9E%9F" title="ត្រីកោណសម័ង្ស - khmer" lang="km" hreflang="km" data-title="ត្រីកោណសម័ង្ស" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%95%EC%82%BC%EA%B0%81%ED%98%95" title="정삼각형 - coreano" lang="ko" hreflang="ko" data-title="정삼각형" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Gl%C3%A4ichs%C3%A4itegen_Dr%C3%A4ieck" title="Gläichsäitegen Dräieck - lussemburghese" lang="lb" hreflang="lb" data-title="Gläichsäitegen Dräieck" data-language-autonym="Lëtzebuergesch" data-language-local-name="lussemburghese" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/Mpanzi-mis%C3%A1to_ekokana" title="Mpanzi-misáto ekokana - lingala" lang="ln" hreflang="ln" data-title="Mpanzi-misáto ekokana" data-language-autonym="Lingála" data-language-local-name="lingala" 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/Lygiakra%C5%A1tis_trikampis" title="Lygiakraštis trikampis - lituano" lang="lt" hreflang="lt" data-title="Lygiakraštis trikampis" data-language-autonym="Lietuvių" data-language-local-name="lituano" 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/Vien%C4%81dmalu_trijst%C5%ABris" title="Vienādmalu trijstūris - lettone" lang="lv" hreflang="lv" data-title="Vienādmalu trijstūris" data-language-autonym="Latviešu" data-language-local-name="lettone" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A0%D0%B0%D0%BC%D0%BD%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD_%D1%82%D1%80%D0%B8%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" title="Рамностран триаголник - macedone" lang="mk" hreflang="mk" data-title="Рамностран триаголник" data-language-autonym="Македонски" data-language-local-name="macedone" 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%B8%E0%B4%AE%E0%B4%AD%E0%B5%81%E0%B4%9C%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="സമഭുജത്രികോണം - malayalam" lang="ml" hreflang="ml" data-title="സമഭുജത്രികോണം" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%AD%E0%A5%81%E0%A4%9C_%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8B%E0%A4%A3" title="समभुज त्रिकोण - marathi" lang="mr" hreflang="mr" data-title="समभुज त्रिकोण" data-language-autonym="मराठी" data-language-local-name="marathi" 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_sekata" title="Segi tiga sekata - malese" lang="ms" hreflang="ms" data-title="Segi tiga sekata" data-language-autonym="Bahasa Melayu" data-language-local-name="malese" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%AC%E0%A4%BE%E0%A4%B9%E0%A5%81_%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%81%E0%A4%9C" title="समबाहु त्रिभुज - nepalese" lang="ne" hreflang="ne" data-title="समबाहु त्रिभुज" data-language-autonym="नेपाली" data-language-local-name="nepalese" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Gelijkzijdige_driehoek" title="Gelijkzijdige driehoek - olandese" lang="nl" hreflang="nl" data-title="Gelijkzijdige driehoek" data-language-autonym="Nederlands" data-language-local-name="olandese" 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/Likesida_trekant" title="Likesida trekant - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Likesida trekant" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese nynorsk" 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/Likesidet_trekant" title="Likesidet trekant - norvegese bokmål" lang="nb" hreflang="nb" data-title="Likesidet trekant" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A8%AE%E0%A8%AC%E0%A8%BE%E0%A8%B9%E0%A9%82_%E0%A8%A4%E0%A8%BF%E0%A8%95%E0%A9%8B%E0%A8%A8" title="ਸਮਬਾਹੂ ਤਿਕੋਨ - punjabi" lang="pa" hreflang="pa" data-title="ਸਮਬਾਹੂ ਤਿਕੋਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Tr%C3%B3jk%C4%85t_r%C3%B3wnoboczny" title="Trójkąt równoboczny - polacco" lang="pl" hreflang="pl" data-title="Trójkąt równoboczny" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Tri%C3%A2ngulo_equil%C3%A1tero" title="Triângulo equilátero - portoghese" lang="pt" hreflang="pt" data-title="Triângulo equilátero" data-language-autonym="Português" data-language-local-name="portoghese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Triunghi_echilateral" title="Triunghi echilateral - rumeno" lang="ro" hreflang="ro" data-title="Triunghi echilateral" data-language-autonym="Română" data-language-local-name="rumeno" 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%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9_%D1%82%D1%80%D0%B5%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA" title="Правильный треугольник - russo" lang="ru" hreflang="ru" data-title="Правильный треугольник" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Equilateral_triangle" title="Equilateral triangle - scozzese" lang="sco" hreflang="sco" data-title="Equilateral triangle" data-language-autonym="Scots" data-language-local-name="scozzese" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-se mw-list-item"><a href="https://se.wikipedia.org/wiki/D%C3%A1ssesiiddot_golmma%C4%8Diegat" title="Dássesiiddot golmmačiegat - sami del nord" lang="se" hreflang="se" data-title="Dássesiiddot golmmačiegat" data-language-autonym="Davvisámegiella" data-language-local-name="sami del nord" 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/Jednakostrani%C4%8Dni_trougao" title="Jednakostranični trougao - serbo-croato" lang="sh" hreflang="sh" data-title="Jednakostranični trougao" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croato" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Equilateral_triangle" title="Equilateral triangle - Simple English" lang="en-simple" hreflang="en-simple" data-title="Equilateral 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/Rovnostrann%C3%BD_trojuholn%C3%ADk" title="Rovnostranný trojuholník - slovacco" lang="sk" hreflang="sk" data-title="Rovnostranný trojuholník" data-language-autonym="Slovenčina" data-language-local-name="slovacco" 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/Enakostrani%C4%8Dni_trikotnik" title="Enakostranični trikotnik - sloveno" lang="sl" hreflang="sl" data-title="Enakostranični trikotnik" data-language-autonym="Slovenščina" data-language-local-name="sloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Gonyonhatu_tsazakose" title="Gonyonhatu tsazakose - shona" lang="sn" hreflang="sn" data-title="Gonyonhatu tsazakose" data-language-autonym="ChiShona" data-language-local-name="shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%88%D0%B5%D0%B4%D0%BD%D0%B0%D0%BA%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%87%D0%BD%D0%B8_%D1%82%D1%80%D0%BE%D1%83%D0%B3%D0%B0%D0%BE" title="Једнакостранични троугао - serbo" lang="sr" hreflang="sr" data-title="Једнакостранични троугао" data-language-autonym="Српски / srpski" data-language-local-name="serbo" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Liksidig_triangel" title="Liksidig triangel - svedese" lang="sv" hreflang="sv" data-title="Liksidig triangel" data-language-autonym="Svenska" data-language-local-name="svedese" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/R%C5%AFwnoboczny_trziek" title="Růwnoboczny trziek - slesiano" lang="szl" hreflang="szl" data-title="Růwnoboczny trziek" data-language-autonym="Ślůnski" data-language-local-name="slesiano" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AE%AE%E0%AE%AA%E0%AE%95%E0%AF%8D%E0%AE%95_%E0%AE%AE%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%8B%E0%AE%A3%E0%AE%BF" title="சமபக்க முக்கோணி - tamil" lang="ta" hreflang="ta" data-title="சமபக்க முக்கோணி" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B0%AE%E0%B0%AC%E0%B0%BE%E0%B0%B9%E0%B1%81_%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="సమబాహు త్రిభుజం - telugu" lang="te" hreflang="te" data-title="సమబాహు త్రిభుజం" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B9%E0%B8%9B%E0%B8%AA%E0%B8%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%E0%B8%94%E0%B9%89%E0%B8%B2%E0%B8%99%E0%B9%80%E0%B8%97%E0%B9%88%E0%B8%B2" title="รูปสามเหลี่ยมด้านเท่า - thailandese" lang="th" hreflang="th" data-title="รูปสามเหลี่ยมด้านเท่า" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/E%C5%9Fkenar_%C3%BC%C3%A7gen" title="Eşkenar üçgen - turco" lang="tr" hreflang="tr" data-title="Eşkenar üçgen" data-language-autonym="Türkçe" data-language-local-name="turco" 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%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D1%8C%D0%BD%D0%B8%D0%B9_%D1%82%D1%80%D0%B8%D0%BA%D1%83%D1%82%D0%BD%D0%B8%D0%BA" title="Правильний трикутник - ucraino" lang="uk" hreflang="uk" data-title="Правильний трикутник" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Teng_tomonli_uchburchak" title="Teng tomonli uchburchak - uzbeco" lang="uz" hreflang="uz" data-title="Teng tomonli uchburchak" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeco" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Tam_gi%C3%A1c_%C4%91%E1%BB%81u" title="Tam giác đều - vietnamita" lang="vi" hreflang="vi" data-title="Tam giác đều" 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href="https://it.wikipedia.org/w/index.php?title=Triangolo_equilatero&amp;action=edit">migliorare questa voce</a> aggiungendo citazioni da <a href="/wiki/Wikipedia:Fonti_attendibili" title="Wikipedia:Fonti attendibili">fonti attendibili</a> secondo le <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">linee guida sull'uso delle fonti</a>. Segui i suggerimenti del <a href="/wiki/Progetto:Geometria" class="mw-redirect" title="Progetto:Geometria">progetto di riferimento</a>.</div> </div> </div> </div> </div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Equilateral_Triangle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Equilateral_Triangle.svg/220px-Equilateral_Triangle.svg.png" decoding="async" width="220" height="208" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Equilateral_Triangle.svg/330px-Equilateral_Triangle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Equilateral_Triangle.svg/440px-Equilateral_Triangle.svg.png 2x" data-file-width="616" data-file-height="582" /></a><figcaption>Triangolo equilatero</figcaption></figure> <p>Nella <a href="/wiki/Geometria_euclidea" title="Geometria euclidea">geometria euclidea</a>, un <b>triangolo equilatero</b> è un <a href="/wiki/Triangolo" title="Triangolo">triangolo</a> avente i suoi tre <a href="/wiki/Lato_(geometria)" title="Lato (geometria)">lati</a> congruenti tra loro. Si dimostra che i suoi <a href="/wiki/Angolo" title="Angolo">angoli</a> sono tutti congruenti e pari a 60<a href="/wiki/Grado_d%27arco" title="Grado d&#39;arco">°</a> = <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 {\pi }{3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>3</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\pi }{3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c83c684a603005cda4feb8eea0254143ffb0e16" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:2.168ex; height:4.676ex;" alt="{\displaystyle {\frac {\pi }{3}}}"></span><a href="/wiki/Radiante" title="Radiante">rad</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>. Poiché è sia <a href="/wiki/Poligono_equilatero" title="Poligono equilatero">equilatero</a> sia <a href="/wiki/Poligono_equiangolo" title="Poligono equiangolo">equiangolo</a> è il <a href="/wiki/Poligono_regolare" title="Poligono regolare">poligono regolare</a> con <a href="/wiki/Tre" class="mw-redirect" title="Tre">tre</a> lati. </p><p>I triangoli equilateri sono particolari <a href="/wiki/Triangolo_isoscele" title="Triangolo isoscele">triangoli isosceli</a>. Tutti i triangoli equilateri sono simili tra di loro: per caratterizzare metricamente un triangolo equilatero, ovvero per caratterizzare la classe dei triangoli equilateri nel piano ottenibili gli uni dagli altri mediante traslazioni e rotazioni, serve e basta un parametro estensivo; tipicamente si usa la lunghezza dei suoi lati. </p><p>Nei triangoli equilateri, le <a href="/wiki/Bisettrice" title="Bisettrice">bisettrici</a>, le <a href="/wiki/Mediana_(geometria)" title="Mediana (geometria)">mediane</a>, le <a href="/wiki/Altezza_(geometria)" title="Altezza (geometria)">altezze</a> e gli <a href="/wiki/Asse_di_un_segmento" title="Asse di un segmento">assi</a> si sovrappongono cosicché lo stesso punto rappresenta l'<a href="/wiki/Ortocentro" title="Ortocentro">ortocentro</a>, il <a href="/wiki/Baricentro_(geometria)" title="Baricentro (geometria)">baricentro</a>, l'<a href="/wiki/Incentro" title="Incentro">incentro</a> e il <a href="/wiki/Circocentro" title="Circocentro">circocentro</a>. </p><p>Il <a href="/wiki/Simmetria_(matematica)" title="Simmetria (matematica)">gruppo delle simmetrie</a> del <i>triangolo equilatero</i> è costituito dall'<a href="/wiki/Funzione_identit%C3%A0" title="Funzione identità">identità</a>, dalle <a href="/wiki/Rotazione_(matematica)" title="Rotazione (matematica)">rotazioni</a> intorno al suo centro di 120° e di 240° e dalle <a href="/wiki/Riflessione_(matematica)" class="mw-redirect" title="Riflessione (matematica)">riflessioni</a> rispetto alle bisettrici degli angoli. Tale gruppo è <a href="/wiki/Isomorfismo" title="Isomorfismo">isomorfo</a> al <a href="/wiki/Gruppo_simmetrico" title="Gruppo simmetrico">gruppo simmetrico</a> di 3 oggetti S<sub>3</sub>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Costruzione">Costruzione</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=1" title="Modifica la sezione Costruzione" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Costruzione"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Equilateral_triangle_construction.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Equilateral_triangle_construction.svg/220px-Equilateral_triangle_construction.svg.png" decoding="async" width="220" height="155" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Equilateral_triangle_construction.svg/330px-Equilateral_triangle_construction.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Equilateral_triangle_construction.svg/440px-Equilateral_triangle_construction.svg.png 2x" data-file-width="340" data-file-height="240" /></a><figcaption>Costruzione del triangolo equilatero con riga e compasso</figcaption></figure> <p>Come mostra <a href="/wiki/Euclide" title="Euclide">Euclide</a> in <a href="/wiki/Elementi_(Euclide)" title="Elementi (Euclide)">Elementi</a> I, 1 (è la prima proposizione di tutta l'opera), il triangolo equilatero dato il lato AB si può costruire con riga e compasso in questo modo: </p> <ul><li>Si punta il compasso in A con apertura AB e si traccia una <a href="/wiki/Circonferenza" title="Circonferenza">circonferenza</a>;</li> <li>Si punta il compasso in B con apertura BA e si traccia una circonferenza;</li> <li>Il punto d'incontro delle circonferenze C è il terzo punto cercato;</li> <li>Unendo A, B e C si ottiene un triangolo equilatero.</li></ul> <p>La dimostrazione è semplice: essendo, per definizione, tutti i punti della circonferenza equidistanti dal centro, il segmento AB è congruente ad AC, e AB è congruente a BC. Ma allora per la proprietà transitiva della congruenza, AB = AC = BC e il triangolo è equilatero. </p> <div class="mw-heading mw-heading2"><h2 id="Formule">Formule</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=2" title="Modifica la sezione Formule" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Formule"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Indicando con <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 l}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/829091f745070b9eb97a80244129025440a1cfac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.693ex; height:2.176ex;" alt="{\displaystyle l}"></span> il lato del triangolo, con <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> il perimetro, con <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span> l'area, con <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> la base e con <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> l'altezza si ha: </p> <div class="mw-heading mw-heading3"><h3 id="Perimetro">Perimetro</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=3" title="Modifica la sezione Perimetro" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Perimetro"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <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 P=l\cdot 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mi>l</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P=l\cdot 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1dbca7192eef0dfb856dbcd1f468303dab37b08b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.379ex; height:2.176ex;" alt="{\displaystyle P=l\cdot 3}"></span></dd></dl> <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 l={\frac {P}{3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>P</mi> <mn>3</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l={\frac {P}{3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/848686daef1313dfd567403d241dd4435fccb72b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.373ex; height:5.176ex;" alt="{\displaystyle l={\frac {P}{3}}}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Area">Area</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=4" title="Modifica la sezione Area" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Area"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A={\frac {b\cdot h}{2}}={\frac {l^{2}}{4}}\cdot {\sqrt {3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>b</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>h</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>4</mn> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A={\frac {b\cdot h}{2}}={\frac {l^{2}}{4}}\cdot {\sqrt {3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cea6705b476ac238a7ceeeb49c1f3569b1f67260" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:20.153ex; height:5.676ex;" alt="{\displaystyle A={\frac {b\cdot h}{2}}={\frac {l^{2}}{4}}\cdot {\sqrt {3}}}"></span></dd></dl> <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={\frac {A\cdot 2}{b}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>A</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>2</mn> </mrow> <mi>b</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h={\frac {A\cdot 2}{b}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b3c22db8b2d05a617c88c599d8d28f2d81cbe29" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.858ex; height:5.509ex;" alt="{\displaystyle h={\frac {A\cdot 2}{b}}}"></span></dd></dl> <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 b={\frac {A\cdot 2}{h}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>A</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>2</mn> </mrow> <mi>h</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b={\frac {A\cdot 2}{h}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1395ba6d6a89e675b0beeed44962754a1bdc0a7f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.517ex; height:5.509ex;" alt="{\displaystyle b={\frac {A\cdot 2}{h}}}"></span></dd> <dd><b>Altezza</b></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 h=l\cdot {\frac {\sqrt {3}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <mi>l</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h=l\cdot {\frac {\sqrt {3}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1c5cb7c52671e31adab252fd9da651a7d3fe5e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.744ex; height:5.843ex;" alt="{\displaystyle h=l\cdot {\frac {\sqrt {3}}{2}}}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Applicazioni_del_teorema_di_Pitagora">Applicazioni del teorema di Pitagora</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=5" title="Modifica la sezione Applicazioni del teorema di Pitagora" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Applicazioni del teorema di Pitagora"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <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 {l^{2}-\left({\frac {l}{2}}\right)^{2}}}={\sqrt {l^{2}-{\frac {l^{2}}{4}}}}={\sqrt {\frac {4l^{2}-l^{2}}{4}}}={\sqrt {\frac {3l^{2}}{4}}}={\frac {{\sqrt {l^{2}}}\cdot {\sqrt {3}}}{\sqrt {4}}}={\frac {{l}\cdot {\sqrt {3}}}{2}}={\frac {l}{2}}{\sqrt {3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>l</mi> <mn>2</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>4</mn> </mfrac> </mrow> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mn>4</mn> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>4</mn> </mfrac> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mn>3</mn> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>4</mn> </mfrac> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <msqrt> <mn>4</mn> </msqrt> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>l</mi> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h={\sqrt {l^{2}-\left({\frac {l}{2}}\right)^{2}}}={\sqrt {l^{2}-{\frac {l^{2}}{4}}}}={\sqrt {\frac {4l^{2}-l^{2}}{4}}}={\sqrt {\frac {3l^{2}}{4}}}={\frac {{\sqrt {l^{2}}}\cdot {\sqrt {3}}}{\sqrt {4}}}={\frac {{l}\cdot {\sqrt {3}}}{2}}={\frac {l}{2}}{\sqrt {3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/31fa358599076d53518e4fad4879e2f98167d31c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:83.338ex; height:7.676ex;" alt="{\displaystyle h={\sqrt {l^{2}-\left({\frac {l}{2}}\right)^{2}}}={\sqrt {l^{2}-{\frac {l^{2}}{4}}}}={\sqrt {\frac {4l^{2}-l^{2}}{4}}}={\sqrt {\frac {3l^{2}}{4}}}={\frac {{\sqrt {l^{2}}}\cdot {\sqrt {3}}}{\sqrt {4}}}={\frac {{l}\cdot {\sqrt {3}}}{2}}={\frac {l}{2}}{\sqrt {3}}}"></span></dd></dl> <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 l={\frac {2h}{\sqrt {3}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>h</mi> </mrow> <msqrt> <mn>3</mn> </msqrt> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l={\frac {2h}{\sqrt {3}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bdaa45678ebb9ba3c57b17cbface57cee1f286df" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:7.726ex; height:6.343ex;" alt="{\displaystyle l={\frac {2h}{\sqrt {3}}}}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Circonferenza_inscritta_e_circoscritta">Circonferenza inscritta e circoscritta</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=6" title="Modifica la sezione Circonferenza inscritta e circoscritta" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=6" title="Edit section&#039;s source code: Circonferenza inscritta e circoscritta"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Il centro geometrico del triangolo è il centro delle circonferenze inscritta e circoscritta al triangolo equilatero </p><p>Il raggio della circonferenza circoscritta è <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R={\frac {\sqrt {3}}{3}}l}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>3</mn> </mfrac> </mrow> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R={\frac {\sqrt {3}}{3}}l}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/94191d34a729b048565bf33ee4d4414b011eb08b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.49ex; height:5.843ex;" alt="{\displaystyle R={\frac {\sqrt {3}}{3}}l}"></span> da cui <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 l=R{\sqrt {3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> <mo>=</mo> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l=R{\sqrt {3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e32d93e2ce918618872a1253e9d00fb7e0b8e3f6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.654ex; height:2.843ex;" alt="{\displaystyle l=R{\sqrt {3}}}"></span> </p><p>Il raggio della <a href="/wiki/Circonferenza_inscritta" title="Circonferenza inscritta">circonferenza inscritta</a> è <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {\sqrt {3}}{6}}l}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>6</mn> </mfrac> </mrow> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {\sqrt {3}}{6}}l}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ba6e88c0e9a8ce4bf5b9a56b0145e8eda4ddc8d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.775ex; height:5.843ex;" alt="{\displaystyle r={\frac {\sqrt {3}}{6}}l}"></span> da cui <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R=2\cdot r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>=</mo> <mn>2</mn> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R=2\cdot r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cfa70ef1f95c3a54406fc28576af967fcbaf6126" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.753ex; height:2.176ex;" alt="{\displaystyle R=2\cdot r}"></span> </p><p>L'area, noto R, è <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={\frac {3\cdot R^{2}}{4}}\cdot {\sqrt {3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>4</mn> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A={\frac {3\cdot R^{2}}{4}}\cdot {\sqrt {3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d2544042287ecd1c7b3347ed5bfc6afbdb817bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:16.115ex; height:5.676ex;" alt="{\displaystyle A={\frac {3\cdot R^{2}}{4}}\cdot {\sqrt {3}}}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=7" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=7" title="Edit section&#039;s source code: Note"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1"><b>^</b></a> <span class="reference-text">Questo avviene solo nella geometria euclidea, dove la somma degli angoli interni di un triangolo è uguale all'angolo piatto. Dunque 180°÷3=60°</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=8" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=8" title="Edit section&#039;s source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Criteri_di_congruenza_dei_triangoli" title="Criteri di congruenza dei triangoli">Criteri di congruenza dei triangoli</a></li> <li><a href="/wiki/Triangolo" title="Triangolo">Triangolo</a></li> <li><a href="/wiki/Triangolo_isoscele" title="Triangolo isoscele">Triangolo isoscele</a></li> <li><a href="/wiki/Triangolo_scaleno" title="Triangolo scaleno">Triangolo scaleno</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Altri_progetti">Altri progetti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=9" title="Modifica la sezione Altri progetti" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=9" title="Edit section&#039;s source code: Altri progetti"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div id="interProject" class="toccolours" style="display: none; clear: both; margin-top: 2em"><p id="sisterProjects" style="background-color: #efefef; color: black; font-weight: bold; margin: 0"><span>Altri progetti</span></p><ul title="Collegamenti verso gli altri progetti Wikimedia"> <li class="" title=""><span class="plainlinks" title="commons:Category:Equilateral triangles"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Equilateral_triangles?uselang=it">Wikimedia Commons</a></span></li></ul></div> <ul><li><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/?uselang=it" title="Collabora a Wikimedia Commons"><img alt="Collabora a Wikimedia Commons" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png" decoding="async" width="18" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/27px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/36px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/?uselang=it">Wikimedia Commons</a></span> contiene immagini o altri file sul <b><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Equilateral_triangles?uselang=it">triangolo equilatero</a></span></b></li></ul> <div class="mw-heading mw-heading2"><h2 id="Collegamenti_esterni">Collegamenti esterni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Triangolo_equilatero&amp;veaction=edit&amp;section=10" title="Modifica la sezione Collegamenti esterni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Triangolo_equilatero&amp;action=edit&amp;section=10" title="Edit section&#039;s source code: Collegamenti esterni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li> <li><cite id="CITEREFEnciclopedia_della_Matematica" class="citation libro" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://www.treccani.it/enciclopedia/triangolo-equilatero_(Enciclopedia-della-Matematica)/"><span style="font-style:italic;">triangolo equilatero</span></a>, in <span style="font-style:italic;">Enciclopedia della Matematica</span>, <a href="/wiki/Istituto_dell%27Enciclopedia_Italiana" title="Istituto dell&#39;Enciclopedia Italiana">Istituto dell'Enciclopedia Italiana</a>, 2013.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q157002#P9621" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li> <li><cite id="CITEREFOpen_Library" class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://openlibrary.org/subjects/equilateral_triangle"><span style="font-style:italic;">Opere riguardanti equilateral triangle</span></a>, su <span style="font-style:italic;"><a href="/wiki/Open_Library" class="mw-redirect" title="Open Library">Open Library</a></span>, <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q157002#P3847" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li> <li><cite id="CITEREFMathWorld" class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) Eric W. 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title="Dodecagono">Dodecagono</a> (12)<b>&#160;·</b> <a href="/wiki/Tridecagono" title="Tridecagono">Tridecagono</a> (13)<b>&#160;·</b> <a href="/wiki/Tetradecagono" title="Tetradecagono">Tetradecagono</a> (14)<b>&#160;·</b> <a href="/wiki/Pentadecagono" title="Pentadecagono">Pentadecagono</a> (15)<b>&#160;·</b> <a href="/wiki/Esadecagono" title="Esadecagono">Esadecagono</a> (16)<b>&#160;·</b> <a href="/wiki/Eptadecagono" title="Eptadecagono">Eptadecagono</a> (17)<b>&#160;·</b> <a href="/wiki/Ottadecagono" title="Ottadecagono">Ottadecagono</a> (18)<b>&#160;·</b> <a href="/wiki/Ennadecagono" title="Ennadecagono">Ennadecagono</a> (19)<b>&#160;·</b> <a href="/wiki/Icosagono" title="Icosagono">Icosagono</a> (20)<b>&#160;·</b> <a href="/wiki/Endeicosagono" title="Endeicosagono">Endeicosagono</a> (21)<b>&#160;·</b> <a href="/wiki/Doicosagono" title="Doicosagono">Doicosagono</a> (22)<b>&#160;·</b> <a href="/wiki/Triacontagono" title="Triacontagono">Triacontagono</a> (30)<b>&#160;·</b> <a 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ottusangolo</a></td></tr><tr><th colspan="1" class="navbox_group"><a href="/wiki/Quadrilatero" title="Quadrilatero">Quadrilateri</a></th><td colspan="1" class="navbox_list navbox_odd"><a href="/wiki/Quadrato" title="Quadrato">Quadrato</a><b>&#160;·</b> <a href="/wiki/Rettangolo" title="Rettangolo">Rettangolo</a><b>&#160;·</b> <a href="/wiki/Parallelogramma" title="Parallelogramma">Parallelogramma</a><b>&#160;·</b> <a href="/wiki/Rombo_(geometria)" title="Rombo (geometria)">Rombo</a><b>&#160;·</b> <a href="/wiki/Trapezio" title="Trapezio">Trapezio</a><b>&#160;·</b> <a href="/wiki/Aquilone_(geometria)" title="Aquilone (geometria)">Aquilone</a></td></tr><tr><th colspan="1" class="navbox_group"><a href="/wiki/Poligono_stellato" title="Poligono stellato">Poligoni stellati</a></th><td colspan="1" class="navbox_list navbox_even"><a href="/wiki/Pentagramma_(geometria)" title="Pentagramma (geometria)">Pentagramma</a><b>&#160;·</b> <a href="/wiki/Esagramma" title="Esagramma">Esagramma</a><b>&#160;·</b> <a href="/wiki/Eptagramma" class="mw-redirect" title="Eptagramma">Eptagramma</a><b>&#160;·</b> <a href="/w/index.php?title=Ottagramma&amp;action=edit&amp;redlink=1" class="new" title="Ottagramma (la pagina non esiste)">Ottagramma</a><b>&#160;·</b> <a href="/wiki/Enneagramma_(geometria)" title="Enneagramma (geometria)">Enneagramma</a><b>&#160;·</b> <a href="/w/index.php?title=Decagramma&amp;action=edit&amp;redlink=1" class="new" title="Decagramma (la pagina non esiste)">Decagramma</a><b>&#160;·</b> <a href="/w/index.php?title=Endecagramma&amp;action=edit&amp;redlink=1" class="new" title="Endecagramma (la pagina non esiste)">Endecagramma</a><b>&#160;·</b> <a href="/w/index.php?title=Dodecagramma&amp;action=edit&amp;redlink=1" class="new" title="Dodecagramma (la pagina non esiste)">Dodecagramma</a></td></tr><tr><th colspan="1" class="navbox_group">Altri</th><td colspan="1" class="navbox_list navbox_odd"><a href="/wiki/Poligono_regolare" 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