{"id":4139,"date":"2026-10-20T15:11:13","date_gmt":"2026-10-20T14:11:13","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/dik-ucgen-hesaplayici\/"},"modified":"2026-10-20T15:11:13","modified_gmt":"2026-10-20T14:11:13","slug":"dik-ucgen-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/dik-ucgen-hesaplayici\/","title":{"rendered":"Dik \u00fc\u00e7gen hesaplay\u0131c\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">\u0130ki \u00f6l\u00e7\u00fcm vererek dik \u00fc\u00e7geni \u00e7\u00f6z\u00fcn<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4139\" data-favorite-title=\"Dik \u00fc\u00e7gen\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/dik-ucgen-hesaplayici\/\" data-favorite-excerpt=\"Bir dik kenar da dahil olmak \u00fczere iki bilinen \u00f6l\u00e7\u00fcyle bir dik \u00fc\u00e7geni \u00e7\u00f6z\u00fcn. Kalan t\u00fcm \u00f6l\u00e7\u00fcleri bulmak i\u00e7in dik kenar uzunluklar\u0131n\u0131, bir dar a\u00e7\u0131y\u0131, alan\u0131 veya \u00e7evreyi girin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-geometry\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/dik-ucgen-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4139\" data-post=\"4139\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">a dik kenar\u0131<\/label><div class=\"term\">a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"a_dik_kenar\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"3\"\/><small id=\"calc-info-1\">Kar\u015f\u0131s\u0131ndaki a\u00e7\u0131 \u03b1. Uzunluklar\u0131 ayn\u0131 birimle girin.<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">b dik kenar\u0131<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"b_dik_kenar\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"4\"\/><small id=\"calc-info-2\">Kar\u015f\u0131s\u0131ndaki a\u00e7\u0131 \u03b2.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">c hipoten\u00fcs\u00fc<\/label><div class=\"term\">c<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"c_hipotens\" id=\"field-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\"\/><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">\u03b1 a\u00e7\u0131s\u0131<\/label><div class=\"term\">\u03b1<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"_as\" id=\"field-4\" aria-describedby=\"calc-unit-4 calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" max=\"90\"\/><div class=\"unit\" id=\"calc-unit-4\">\u00b0<\/div><small id=\"calc-info-4\">a dik kenar\u0131n\u0131n kar\u015f\u0131s\u0131ndaki a\u00e7\u0131; 0\u00b0 ile 90\u00b0 aras\u0131nda olmal\u0131d\u0131r.<\/small><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">\u03b2 a\u00e7\u0131s\u0131<\/label><div class=\"term\">\u03b2<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"_as\" id=\"field-5\" aria-describedby=\"calc-unit-5 calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" max=\"90\"\/><div class=\"unit\" id=\"calc-unit-5\">\u00b0<\/div><small id=\"calc-info-5\">b dik kenar\u0131n\u0131n kar\u015f\u0131s\u0131ndaki a\u00e7\u0131; 0\u00b0 ile 90\u00b0 aras\u0131nda olmal\u0131d\u0131r.<\/small><\/div><div class=\"field has-term\" id=\"input-6\"><label for=\"field-6\">Alan<\/label><div class=\"term\">A<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"alan\" id=\"field-6\" aria-describedby=\"calc-info-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\"\/><small id=\"calc-info-6\">\u0130ste\u011fe ba\u011fl\u0131 bilinen de\u011fer, birim kare cinsinden.<\/small><\/div><div class=\"field has-term\" id=\"input-7\"><label for=\"field-7\">\u00c7evre<\/label><div class=\"term\">P<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"evre\" id=\"field-7\" aria-describedby=\"calc-info-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\"\/><small id=\"calc-info-7\">\u0130ste\u011fe ba\u011fl\u0131 bilinen de\u011fer, kenarlarla ayn\u0131 uzunluk birimiyle.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4139\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> \u00c7\u00f6z\u00fclen \u00fc\u00e7gen<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>a dik kenar\u0131<\/span><span class=\"result-term\">a<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"birim\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>b dik kenar\u0131avigable<\/span><span class=\"result-term\">b<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"birim\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>c hipoten\u00fcs\u00fc<\/span><span class=\"result-term\">c<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"birim\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>\u03b1 a\u00e7\u0131s\u0131<\/span><span class=\"result-term\">\u03b1<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"\u00b0\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>\u03b2 a\u00e7\u0131s\u0131<\/span><span class=\"result-term\">\u03b2<\/span><\/span><span class=\"field-value\" id=\"result-5\" data-unit=\"\u00b0\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-6\"><span class=\"field-title\"><span>\u03b1 a\u00e7\u0131s\u0131 (radyan)<\/span><span class=\"result-term\">\u03b1<\/span><\/span><span class=\"field-value\" id=\"result-6\" data-unit=\"rad\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-7\"><span class=\"field-title\"><span>\u03b2 a\u00e7\u0131s\u0131 (radyan)<\/span><span class=\"result-term\">\u03b2<\/span><\/span><span class=\"field-value\" id=\"result-7\" data-unit=\"rad\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-8\"><span class=\"field-title\"><span>Area<\/span><span class=\"result-term\">A<\/span><\/span><span class=\"field-value\" id=\"result-8\" data-unit=\"birim\u00b2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-9\"><span class=\"field-title\"><span>\u00c7evre<\/span><span class=\"result-term\">P<\/span><\/span><span class=\"field-value\" id=\"result-9\" data-unit=\"birim\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-10\"><span class=\"field-title\"><span>Hipoten\u00fcse y\u00fckseklik<\/span><span class=\"result-term\">h<\/span><\/span><span class=\"field-value\" id=\"result-10\" data-unit=\"birim\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-11\"><span class=\"field-title\"><span>\u0130\u00e7 te\u011fet \u00e7emberin yar\u0131\u00e7ap\u0131<\/span><span class=\"result-term\">r<\/span><\/span><span class=\"field-value\" id=\"result-11\" data-unit=\"birim\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-12\"><span class=\"field-title\"><span>\u00c7evrel \u00e7emberin yar\u0131\u00e7ap\u0131<\/span><span class=\"result-term\">R<\/span><\/span><span class=\"field-value\" id=\"result-12\" data-unit=\"birim\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-13\"><span class=\"field-title\"><span>Kullan\u0131lan \u00f6l\u00e7\u00fcmler<\/span><\/span><span class=\"field-value\" id=\"result-13\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-14\"><span class=\"field-title\"><span>\u00d6l\u00e7ekli \u00fc\u00e7gen<\/span><\/span><span class=\"field-value\" id=\"result-14\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"4139\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Dik \u00fc\u00e7gen form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[\\begin{aligned}c&amp;=\\sqrt{a^2+b^2}, &amp; A&amp;=\\frac{ab}{2}, &amp; P&amp;=a+b+c\\\\ \\alpha&amp;=\\arctan\\!\\left(\\frac{a}{b}\\right), &amp; \\beta&amp;=90^\\circ-\\alpha\\\\ h&amp;=\\frac{ab}{c}, &amp; r&amp;=\\frac{ab}{P}, &amp; R&amp;=\\frac{c}{2}\\end{aligned}\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(a\\) ve \\(b\\) \u2014 dik kenarlar; kar\u015f\u0131s\u0131ndaki a\u00e7\u0131lar s\u0131ras\u0131yla \\(\\alpha\\) ve \\(\\beta\\)<\/li>\n<li>\\(c\\) \u2014 hipoten\u00fcs; dik a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131ndaki kenar<\/li>\n<li>\\(A\\) \u2014 alan; \\(P\\) \u2014 \u00e7evre<\/li>\n<li>\\(h\\) \u2014 dik a\u00e7\u0131n\u0131n k\u00f6\u015fesinden hipoten\u00fcse inen y\u00fckseklik<\/li>\n<li>\\(r\\) \u2014 i\u00e7 te\u011fet \u00e7emberin yar\u0131\u00e7ap\u0131; \\(R\\) \u2014 \u00e7evrel \u00e7emberin yar\u0131\u00e7ap\u0131<\/li>\n<\/ul>\n<p>Kenarlar\u0131 ve dar a\u00e7\u0131lar\u0131 Pisagor teoremi ile trigonometri belirler. \u00dc\u00e7gen \u00e7\u00f6z\u00fcld\u00fckten sonra kenarlar ayr\u0131ca alan\u0131, \u00e7evreyi, y\u00fcksekli\u011fi ve \u00e7ember yar\u0131\u00e7aplar\u0131n\u0131 da belirler.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Dik \u00fc\u00e7gen \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> varsay\u0131lan de\u011ferler Dik kenar a = 3 ve Dik kenar b = 4't\u00fcr. Kalan \u00f6l\u00e7\u00fcleri bulun.<\/p>\n<p>\\[c=\\sqrt{3^2+4^2}=5,\\qquad \\alpha=\\arctan\\!\\left(\\frac{3}{4}\\right)\\approx36.8699^\\circ,\\qquad \\beta\\approx53.1301^\\circ\\]<\/p>\n<p>\\[A=\\frac{3\\cdot4}{2}=6,\\qquad P=3+4+5=12\\]<\/p>\n<p>\\[h=\\frac{3\\cdot4}{5}=2.4,\\qquad r=\\frac{3\\cdot4}{12}=1,\\qquad R=\\frac{5}{2}=2.5\\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> kenarlar 3, 4 ve 5 birim; dar a\u00e7\u0131lar yakla\u015f\u0131k 36,8699\u00b0 ve 53,1301\u00b0'dir. Alan 6 birimkare, \u00e7evre 12 birimdir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>Bir kenar da dahil olmak \u00fczere iki bilinen \u00f6l\u00e7\u00fc girin. Kenar alanlar\u0131 <strong>Dik kenar a<\/strong>, <strong>Dik kenar b<\/strong> ve <strong>Hipoten\u00fcs c<\/strong>'dir. Dik kenar a, \u03b1 a\u00e7\u0131s\u0131n\u0131n; Dik kenar b ise \u03b2 a\u00e7\u0131s\u0131n\u0131n kar\u015f\u0131s\u0131ndad\u0131r.<\/li>\n<li>Kenar-a\u00e7\u0131 ile hesaplama i\u00e7in bir kenar\u0131 derece cinsinden <strong>A\u00e7\u0131 \u03b1<\/strong> veya <strong>A\u00e7\u0131 \u03b2<\/strong> ile birlikte girin. Alternatif olarak bir kenar\u0131 <strong>Alan<\/strong> veya <strong>\u00c7evre<\/strong> ile e\u015fle\u015ftirin. T\u00fcm kenar uzunluklar\u0131n\u0131 ayn\u0131 birimle, alan\u0131 ise bu birimin kar\u015f\u0131l\u0131k gelen karesiyle girin.<\/li>\n<li>Bilinen \u00f6l\u00e7\u00fcleriniz aras\u0131nda yoksa <strong>Dik kenar a<\/strong> ve <strong>Dik kenar b<\/strong> alanlar\u0131ndaki varsay\u0131lan de\u011ferleri temizleyin. Kullanmak istemedi\u011finiz alanlar\u0131 bo\u015f b\u0131rak\u0131n.<\/li>\n<li>Kenarlar\u0131, derece ve radyan cinsinden a\u00e7\u0131lar\u0131, alan\u0131, \u00e7evreyi, hipoten\u00fcse inen y\u00fcksekli\u011fi, i\u00e7 te\u011fet \u00e7ember yar\u0131\u00e7ap\u0131n\u0131 ve \u00e7evrel \u00e7ember yar\u0131\u00e7ap\u0131n\u0131 <strong>\u00c7\u00f6z\u00fclen \u00fc\u00e7gen<\/strong> b\u00f6l\u00fcm\u00fcnden okuyun. Sonucun hangi giri\u015flerle belirlendi\u011fini g\u00f6rmek i\u00e7in <strong>Kullan\u0131lan \u00f6l\u00e7\u00fcler<\/strong> b\u00f6l\u00fcm\u00fcne bak\u0131n.<\/li>\n<\/ol>\n<h2>\u00c7\u00f6z\u00fclen \u00fc\u00e7gen size ne s\u00f6yler?<\/h2>\n<p>Bir dik \u00fc\u00e7gende bir a\u00e7\u0131 90\u00b0'dir. \u0130ki dik kenar bu a\u00e7\u0131n\u0131n k\u00f6\u015fesinde bulu\u015fur; hipoten\u00fcs ise bu a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131ndaki kenard\u0131r. Dar a\u00e7\u0131lar \u03b1 ve \u03b2'nin toplam\u0131 90\u00b0'dir. Bunlardan en az biri bir kenar olacak \u015fekilde uygun iki \u00f6l\u00e7\u00fcy\u00fc bilmek, genellikle hem \u00fc\u00e7genin \u015feklini hem de boyutunu belirler. \u0130ki a\u00e7\u0131 ise yaln\u0131zca \u015fekli belirler; kenar uzunluklar\u0131n\u0131 belirlemez.<\/p>\n<p>Hipoten\u00fcs, \\(a^2+b^2=c^2\\) ba\u011f\u0131nt\u0131s\u0131yla iki dik kenardan bulunabilir. Bir dik kenar ve bir dar a\u00e7\u0131 biliniyorsa, trigonometrik oranlar bunlar\u0131 \u00f6b\u00fcr kenarlara ba\u011flar. \u00d6rne\u011fin \\(\\tan\\alpha=a\/b\\) ve \\(\\sin\\alpha=a\/c\\). Bu ba\u011f\u0131nt\u0131lar\u0131 temel alan daha odakl\u0131 bir hesaplama i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/pisagor-teoremi-hesaplama\/\">Pisagor Teoremi Hesaplay\u0131c\u0131<\/a> veya <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/trigonometry-calculator\/\">Trigonometri Hesaplay\u0131c\u0131<\/a> sayfalar\u0131na bak\u0131n.<\/p>\n<p>Dik kenarlar ayn\u0131 zamanda birbirine dik taban ve y\u00fckseklik g\u00f6revi g\u00f6rd\u00fc\u011f\u00fc i\u00e7in alan, \u00e7arp\u0131mlar\u0131n\u0131n yar\u0131s\u0131d\u0131r. Hesaplay\u0131c\u0131n\u0131n verdi\u011fi <strong>Hipoten\u00fcse y\u00fckseklik<\/strong> de\u011feri ise farkl\u0131 bir y\u00fcksekliktir: dik a\u00e7\u0131n\u0131n k\u00f6\u015fesinden hipoten\u00fcse iner. \u0130\u00e7 te\u011fet \u00e7emberin yar\u0131\u00e7ap\u0131 \u00fc\u00e7 kenara da de\u011fen bir \u00e7emberin; \u00e7evrel \u00e7emberin yar\u0131\u00e7ap\u0131 \u00fc\u00e7 k\u00f6\u015feden de ge\u00e7en bir \u00e7emberin yar\u0131\u00e7ap\u0131d\u0131r. Bir dik \u00fc\u00e7gende \u00e7evrel \u00e7emberin yar\u0131\u00e7ap\u0131 her zaman hipoten\u00fcs\u00fcn yar\u0131s\u0131na e\u015fittir. Elinizde ba\u015fka \u00f6l\u00e7\u00fcler varsa ve yaln\u0131zca alan\u0131 hesaplamak istiyorsan\u0131z <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/triangle-area-calculator\/\">\u00dc\u00e7gen Alan Hesaplay\u0131c\u0131<\/a>'y\u0131 kullan\u0131n.<\/p>\n<h2>Giri\u015f kurallar\u0131 ve pratik s\u0131n\u0131rlar<\/h2>\n<li>\n<p>Pozitif ve sonlu \u00f6l\u00e7\u00fcler girin. Her dar a\u00e7\u0131 0\u00b0'den b\u00fcy\u00fck, 90\u00b0'den k\u00fc\u00e7\u00fck olmal\u0131d\u0131r; hipoten\u00fcs de bilinen herhangi bir dik kenardan uzun olmal\u0131d\u0131r. Alan veya \u00e7evre ile e\u015fle\u015ftirilen bir kenar, ger\u00e7ekten var olabilecek bir dik \u00fc\u00e7geni tan\u0131mlamal\u0131d\u0131r; tan\u0131mlamad\u0131\u011f\u0131nda hesaplay\u0131c\u0131 bir hata bildirir.<\/p>\n<p>Hesaplay\u0131c\u0131 yaln\u0131zca girilen iki de\u011feri kullan\u0131r. Dik kenar a, Dik kenar b, Hipoten\u00fcs c s\u0131ras\u0131na g\u00f6re buldu\u011fu ilk iki kenar\u0131 al\u0131r. Yaln\u0131zca bir kenar girildiyse bu kenar, \u015fu s\u0131rayla ilk mevcut de\u011ferle e\u015fle\u015ftirilir: A\u00e7\u0131 \u03b1, A\u00e7\u0131 \u03b2, Alan, \u00c7evre. Di\u011fer giri\u015fler tutarl\u0131l\u0131k a\u00e7\u0131s\u0131ndan denetlenmek yerine yok say\u0131l\u0131r; bu y\u00fczden istemedi\u011finiz alanlar\u0131 temizleyin ve <strong>Kullan\u0131lan \u00f6l\u00e7\u00fcler<\/strong> b\u00f6l\u00fcm\u00fcne bak\u0131n.<\/p>\n<p>Hipoten\u00fcs, alan veya \u00e7evre ile e\u015fle\u015fti\u011finde ayn\u0131 \u015feklin iki farkl\u0131 etiketlenmesi m\u00fcmk\u00fcn olabilir: a ve b dik kenarlar\u0131n\u0131n yerini de\u011fi\u015ftirmek \u03b1 ve \u03b2 a\u00e7\u0131lar\u0131n\u0131n da yerini de\u011fi\u015ftirir. Sonu\u00e7 ve \u00f6l\u00e7ekli \u00e7izim \\(a\\leq b\\) olan etiketlenmeyi g\u00f6sterir; yer de\u011fi\u015ftirilmi\u015f etiketlemenin de m\u00fcmk\u00fcn oldu\u011fu durumlarda <strong>Kullan\u0131lan \u00f6l\u00e7\u00fcler<\/strong> alt\u0131ndaki bir not bunu belirtir. \u00c7izim oranlar\u0131 g\u00f6stermek i\u00e7in \u00f6l\u00e7eklenmi\u015ftir; ekran boyutunda fiziksel bir \u00f6l\u00e7\u00fcm sa\u011flamak i\u00e7in de\u011fildir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir dik kenar da dahil olmak \u00fczere iki bilinen \u00f6l\u00e7\u00fcyle bir dik \u00fc\u00e7geni \u00e7\u00f6z\u00fcn. Kalan t\u00fcm \u00f6l\u00e7\u00fcleri bulmak i\u00e7in dik kenar uzunluklar\u0131n\u0131, bir dar a\u00e7\u0131y\u0131, alan\u0131 veya \u00e7evreyi girin.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[42],"class_list":["post-4139","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-geometri"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=4139"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4139\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}