{"id":5486,"date":"2010-11-14T23:26:55","date_gmt":"2010-11-14T23:26:55","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=5486"},"modified":"2022-01-12T03:04:49","modified_gmt":"2022-01-12T03:04:49","slug":"circunferencia-circunscrita-num-triangulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=5486","title":{"rendered":"Circunfer\u00eancia circunscrita num tri\u00e2ngulo"},"content":{"rendered":"<p><ul id='GTTabs_ul_5486' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_5486' class='GTTabs_curr'><a  id=\"5486_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_5486' ><a  id=\"5486_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_5486'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considere um referencial o. n. $(O,\\vec{i},\\vec{j})$.<\/p>\n<p>Escreva uma equa\u00e7\u00e3o da circunfer\u00eancia circunscrita ao tri\u00e2ngulo, cujos lados est\u00e3o sobre as retas de equa\u00e7\u00e3o $y=0$, $x=0$ e $y=x+4$.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_5486' onClick='GTTabs_show(1,5486)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_5486'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p style=\"text-align: center;\"><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":797,\r\n\"height\":491,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 73 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is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator DA=Data Analysis, FI=Function Inspector, macro=Macros\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\napplet.setPreviewImage('data:image\/png;base64,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','data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAABQCAMAAAC5zwKfAAAAhFBMVEUAAABmZmb\/\/\/9qampsbGz+\/v6qqqpvb29ubm6enp6rq6t3d3d1dXVxcXH6+vqCgoJ+fn719fXv7+\/n5+eTk5N0dHSXl5eNjY2KioqIiIji4uLe3t6UlJSQkJDr6+vW1tbCwsK5ubmioqK7u7uzs7OmpqaFhYXk5OR7e3vNzc3Jycmvr6833NujAAAAAXRSTlMAQObYZgAAAlhJREFUWMPVmNuW2jAMRS2Ogk0JCZBwvzPATNv\/\/7\/SdrqyBoxl2U\/dH7DXUeSLYvP\/czrPAPAdgG+DTNsCRKAvMJKlQwLIA4BWb2st02tAQ13OFcloSncUR2wnmGKZG5k3gKIBRN8H6YAQ0pGacchHKawEnxo4wadn5vdZSmbr37rpYOcRgjKA4NMzevQtBaF68TBlgogOQ5Wavxww\/ta1I4e0iOQBx6poTmwpFtf5BuShnPTuNH2GvmbrPeF7f6jWu1jlLNhi\/lb0PpVNbaH6iqW3gH7R+8fk+9BSBG3XEn\/Cjv0RHB+RpIR3iubMiBS2QWGn3LSOo64DhEvuqN5XFhERSUrYMT3MHAVgSehRnsCCUCj5ieYMDpa8lRM+dmduERigakHoYbKvnV+4vAuXJJTsVR4An7C+C8dSQj9rfnE+LJ0o9PMT\/jYPZonCDfuF1zJR+PZC2E8UNsNX1\/MtRVhtxnh1Oiz0y6ZYDxgv1+FCnbC5gkMDslI4PQp7WSecrJ+ulxxhNV1YiOchYoXFumUmEoUc1+Vi3xdvvrqbNcWE0x\/MJGGihZPDeASKFQ6lkqtp7UAypfkEwYTV+9ZBN34hlHB\/YdYO7lePEdvi776wluLAxQQjYvO7Fx8WKUP2HPSMPV1KBkWzFP8bmUmBe3gYoEyQ9Gcmr8GOEWXB5pFzXkbzTEkZ1J1HXbTc4fzGIOPVRv6A+VXDBOBEXyAjSMfYSOTEy30QgjNRrEBRsOaBOIKb0TAWwmFrtOwgFJvAyuLBCiKUA5PDrp4xs3PsmO1wrpXl8wsCuyePXN5O7AAAAABJRU5ErkJggg==');\r\n<\/script><\/p>\n<p>\u00ad<br \/>\nA circunfer\u00eancia circunscrita a um tri\u00e2ngulo cont\u00e9m os seus v\u00e9rtices, pelo que o seu centro &#8211; circuncentro do tri\u00e2ngulo &#8211; \u00e9 um ponto equidistante dos seus v\u00e9rtices. Por isso, o circuncentro do tri\u00e2ngulo \u00e9 o ponto de intersec\u00e7\u00e3o das mediatrizes dos lados do tri\u00e2ngulo (Porqu\u00ea?).<\/p>\n<p>No caso presente, os v\u00e9rtices do tri\u00e2ngulo s\u00e3o:<\/p>\n<ul>\n<li>$\\begin{matrix}<br \/>\nP(0,0): &amp; \\left\\{ \\begin{array}{*{35}{l}}<br \/>\nx=0\u00a0 \\\\<br \/>\ny=0\u00a0 \\\\<br \/>\n\\end{array} \\right.\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<li>$\\begin{matrix}<br \/>\nQ(0,4): &amp; \\left\\{ \\begin{array}{*{35}{l}}<br \/>\nx=0\u00a0 \\\\<br \/>\ny=x+4\u00a0 \\\\<br \/>\n\\end{array}\\Leftrightarrow \\left\\{ \\begin{array}{*{35}{l}}<br \/>\nx=0\u00a0 \\\\<br \/>\ny=4\u00a0 \\\\<br \/>\n\\end{array} \\right. \\right.\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<li>$\\begin{matrix}<br \/>\nR(-4,0): &amp; \\left\\{ \\begin{array}{*{35}{l}}<br \/>\ny=x+4\u00a0 \\\\<br \/>\ny=0\u00a0 \\\\<br \/>\n\\end{array}\\Leftrightarrow \\left\\{ \\begin{array}{*{35}{l}}<br \/>\nx=-4\u00a0 \\\\<br \/>\ny=0\u00a0 \\\\<br \/>\n\\end{array} \\right. \\right.\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<\/ul>\n<p>A determina\u00e7\u00e3o das equa\u00e7\u00f5es de duas mediatrizes (basta duas &#8211; Porqu\u00ea?)\u00a0de dois dos lados do tri\u00e2ngulo e, posteriormente, a determina\u00e7\u00e3o do seu ponto de intersec\u00e7\u00e3o (circuncentro do tri\u00e2ngulo) \u00e9 uma tarefa bastante laboriosa (<a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=5513\">ver problema 28<\/a>). Por isso, compensar\u00e1 reparar mais atentamente\u00a0nos v\u00e9rtices do tri\u00e2ngulo:<\/p>\n<ul>\n<li>A mediatriz do lado [PQ] \u00e9 a reta de equa\u00e7\u00e3o $y=2$ (Porqu\u00ea?).<\/li>\n<li>A mediatriz do lado [PR] \u00e9 reta de equa\u00e7\u00e3o $x=-2$ (Porqu\u00ea?).<\/li>\n<\/ul>\n<p>Logo, o circuncentro do tri\u00e2ngulo \u00e9 o ponto de intersec\u00e7\u00e3o destas retas: $C(-2,2)$.<\/p>\n<p>O raio dessa circunfer\u00eancia \u00e9, por exemplo, $r=\\overline{CP}=\\sqrt{{{(0+2)}^{2}}+{{(0-2)}^{2}}}=2\\sqrt{2}$.<\/p>\n<p>Portanto, uma equa\u00e7\u00e3o da circunfer\u00eancia pedida \u00e9 ${{(x+2)}^{2}}+{{(y-2)}^{2}}=8$.<\/p>\n<p>(Verifique a solu\u00e7\u00e3o apresentada, usando a anima\u00e7\u00e3o acima)<\/p>\n<\/p>\n<p><strong>ATALHO<\/strong>:<br \/>\nVimos que as mediatrizes dos lados [PQ] e [PR] s\u00e3o perpendiculares.<br \/>\nConsequentemente, s\u00e3o tamb\u00e9m perpendiculares as retas PQ e PR.<br \/>\nLogo, o tri\u00e2ngulo [PQR] \u00e9 ret\u00e2ngulo em P.<br \/>\nAssim, o lado [QR] \u00e9 um di\u00e2metro da circunfer\u00eancia pedida (Porqu\u00ea?).<\/p>\n<p>Por isso, designando por $T(x,y)$ um ponto gen\u00e9rico dessa circunfer\u00eancia, temos: $\\overrightarrow{QT}.\\overrightarrow{RT}=0$.<\/p>\n<p>Logo, a circunfer\u00eancia pedida ser definida por: \\[\\begin{array}{*{35}{l}}<br \/>\n\\overrightarrow{QT}.\\overrightarrow{RT}=0 &amp; \\Leftrightarrow\u00a0 &amp; (x-0,y-4).(x+4,y-0)=0\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{x}^{2}}+4x+{{y}^{2}}-4y=0\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{(x+2)}^{2}}-4+{{(y-2)}^{2}}-4=0\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{(x+2)}^{2}}+{{(y-2)}^{2}}=8\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_5486' onClick='GTTabs_show(0,5486)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considere um referencial o. n. $(O,\\vec{i},\\vec{j})$. Escreva uma equa\u00e7\u00e3o da circunfer\u00eancia circunscrita ao tri\u00e2ngulo, cujos lados est\u00e3o sobre as retas de equa\u00e7\u00e3o $y=0$, $x=0$ e $y=x+4$. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19489,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,110],"tags":[422,67,111],"series":[],"class_list":["post-5486","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-geometria-analitica","tag-11-o-ano","tag-geometria","tag-vectores"],"views":3393,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/Circunferencia_circunscrita_triangulo_equilatero.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5486","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5486"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5486\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19489"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5486"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5486"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5486"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=5486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}