{"id":13041,"date":"2017-11-25T22:22:51","date_gmt":"2017-11-25T22:22:51","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13041"},"modified":"2022-01-17T20:17:11","modified_gmt":"2022-01-17T20:17:11","slug":"constroi-um-triangulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13041","title":{"rendered":"Constr\u00f3i um tri\u00e2ngulo"},"content":{"rendered":"<p><ul id='GTTabs_ul_13041' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13041' class='GTTabs_curr'><a  id=\"13041_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13041' ><a  id=\"13041_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_13041'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Constr\u00f3i um tri\u00e2ngulo [SOL], sabendo que:\u00a0\\(\\overline {SO} = 4,5\\) cm,\u00a0\\(\\overline {OL} = 6\\) cm e\u00a0\\(\\overline {LS} = 7,5\\) cm.<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Como classificas este tri\u00e2ngulo quanto \u00e0 amplitude dos \u00e2ngulos?<\/li>\n<li>Determina o circuncentro do tri\u00e2ngulo [SOL].<\/li>\n<li>Constr\u00f3i a circunfer\u00eancia circunscrita ao tri\u00e2ngulo.<br \/>\nO que \u00e9 [LS] relativamente a esta circunfer\u00eancia?<\/li>\n<li>Determina um valor aproximado, a menos de 1 mm<sup>2<\/sup>, da \u00e1rea da superf\u00edcie interior \u00e0 circunfer\u00eancia e exterior ao tri\u00e2ngulo.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13041' onClick='GTTabs_show(1,13041)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13041'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Executa a constru\u00e7\u00e3o do GeoGebra.<\/p>\n<p><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\":860,\r\n\"height\":680,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 73 62 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71  14  68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 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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, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 1,'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,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','data:image\/png;base64,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');\r\n<\/script><br \/>\n\u00ad<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>O tri\u00e2ngulo [SOL] \u00e9 ret\u00e2ngulo, pois verifica-se o corol\u00e1rio do Teorema de Pit\u00e1goras:<br \/>\n\\(\\begin{array}{*{20}{c}}{{{\\overline {SO} }^2} + {{\\overline {OL} }^2} = {{\\overline {LS} }^2}}&amp; \\Leftrightarrow &amp;{{{4,5}^2} + {6^2} = {{7,5}^2}}&amp; \\Leftrightarrow &amp;{20,25 + 36 = 56,25}&amp; \\Leftrightarrow &amp;{56,25 = 56,25}\\end{array}\\).<\/li>\n<li>O circuncentro do tri\u00e2ngulo est\u00e1 determinado acima.<\/li>\n<li>A circunfer\u00eancia circunscrita no tri\u00e2ngulo est\u00e1 constru\u00edda acima.<br \/>\nO segmento de reta [LS] \u00e9 um di\u00e2metro dessa circunfer\u00eancia.<\/li>\n<li>\u00a0Um valor aproximado, a menos de 1 mm<sup>2<\/sup>, da \u00e1rea da superf\u00edcie interior \u00e0 circunfer\u00eancia e exterior ao tri\u00e2ngulo \u00e9:<br \/>\n\\[\\begin{array}{*{20}{l}}{{A_{verde}}}&amp; = &amp;{{A_\\bigcirc } &#8211; {A_{\\left[ {SOL} \\right]}}}\\\\{}&amp; = &amp;{\\pi \\times {{\\left( {\\frac{{\\overline {LS} }}{2}} \\right)}^2} &#8211; \\frac{{\\overline {OL} \\times \\overline {OS} }}{2}}\\\\{}&amp; = &amp;{\\pi \\times {{37,5}^2} &#8211; \\frac{{60 \\times 45}}{2}}\\\\{}&amp; \\approx &amp;{3068\\;m{m^2}}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13041' onClick='GTTabs_show(0,13041)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Constr\u00f3i um tri\u00e2ngulo [SOL], sabendo que:\u00a0\\(\\overline {SO} = 4,5\\) cm,\u00a0\\(\\overline {OL} = 6\\) cm e\u00a0\\(\\overline {LS} = 7,5\\) cm. Como classificas este tri\u00e2ngulo quanto \u00e0 amplitude dos \u00e2ngulos? Determina o circuncentro&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20528,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,187],"tags":[426,453,454,455,191],"series":[],"class_list":["post-13041","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-lugares-geometricos","tag-9-o-ano","tag-bissetriz","tag-circuncentro","tag-incentro","tag-mediatriz"],"views":2317,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/9V1Pag096-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13041","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=13041"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13041\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20528"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13041"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}