{"id":23113,"date":"2022-11-17T21:05:18","date_gmt":"2022-11-17T21:05:18","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23113"},"modified":"2022-11-18T16:01:46","modified_gmt":"2022-11-18T16:01:46","slug":"decomposicao-de-um-triangulo-pela-altura-referente-a-hipotenusa-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23113","title":{"rendered":"Decomposi\u00e7\u00e3o de um tri\u00e2ngulo pela altura referente \u00e0 hipotenusa"},"content":{"rendered":"<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\":725,\r\n\"height\":322,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 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 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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': 0,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\n<\/script><\/p>\n<p>1 &#8211; O tri\u00e2ngulo [ABC] \u00e9 ret\u00e2ngulo em A e [AD] \u00e9 a altura referente \u00e0 hipotenusa.<\/p>\n<blockquote>\n<ul>\n<li>A <strong>hipotenusa<\/strong> \u00e9 o lado do tri\u00e2ngulo oposto ao \u00e2ngulo reto.<\/li>\n<li>Os <strong>catetos<\/strong> s\u00e3o os lados do tri\u00e2ngulo adjacentes ao \u00e2ngulo reto.<\/li>\n<li>A <strong>altura<\/strong> de um tri\u00e2ngulo \u00e9 o segmento de reta que parte de um v\u00e9rtice e \u00e9 perpendicular ao lado oposto.<\/li>\n<\/ul>\n<\/blockquote>\n<p>2 &#8211; Justifica as afirma\u00e7\u00f5es seguintes:<\/p>\n<ol>\n<li>$Ahat{D}C=Ahat{D}B=Bhat{A}C$<\/li>\n<li>$Ahat{B}C=90{}^text{o}-Ahat{C}B$, isto \u00e9, os \u00e2ngulos ABC e ACB s\u00e3o complementares.<\/li>\n<li>$Ahat{B}C=90{}^text{o}-Bhat{A}D$, isto \u00e9, os \u00e2ngulos ABC e BAD s\u00e3o complementares.<\/li>\n<li>$Ahat{C}D=90{}^text{o}-Chat{A}D$, isto \u00e9, oa \u00e2ngulos ACD e CAD s\u00e3o complementares.<\/li>\n<li>O tri\u00e2ngulo [ACD] \u00e9 semelhante ao tri\u00e2ngulo [ABC].<\/li>\n<li>O tri\u00e2ngulo [ABD] \u00e9 semelhante ao tri\u00e2ngulo [ABC].<\/li>\n<li>O tri\u00e2ngulo [ACD] \u00e9 semelhante ao tri\u00e2ngulo [ABD].<\/li>\n<\/ol>\n<p>3 &#8211; Completa, tendo em aten\u00e7\u00e3o o que conclu\u00edste nas al\u00edneas anteriores:<\/p>\n<blockquote><p><span style=\"color: #333399;\"><strong>&#8220;Num tri\u00e2ngulo ret\u00e2ngulo, a altura referente \u00e0 hipotenusa divide-o em ________ tri\u00e2ngulos ret\u00e2ngulos ____________________________ entre si e ____________________________ ao tri\u00e2ngulo dado.&#8221;<\/strong><\/span><\/p><\/blockquote>\n<p>4 &#8211; A afirma\u00e7\u00e3o seguinte, \u00e9 verdadeira ou falsa? Porqu\u00ea? [frac{overline{AB}}{overline{BD}}=frac{overline{BD}}{overline{AD}}=frac{overline{AC}}{overline{AD}}=frac{overline{AD}}{overline{CD}}=frac{overline{BC}}{overline{AB}}=frac{overline{AB}}{overline{AC}}]<\/p>\n<p style=\"text-align: center;\"><div id=\"ggbApplet2\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet2\",\r\n\"width\":938,\r\n\"height\":515,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 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 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6\",\r\n\"showToolBarHelp\":false,\r\n\"showResetIcon\":true,\r\n\"enableLabelDrags\":false,\r\n\"enableShiftDragZoom\":false,\r\n\"enableRightClick\":false,\r\n\"errorDialogsActive\":false,\r\n\"useBrowserForJS\":false,\r\n\"allowStyleBar\":false,\r\n\"preventFocus\":false,\r\n\"showZoomButtons\":true,\r\n\"capturingThreshold\":3,\r\n\/\/ add code here to run when the applet starts\r\n\"appletOnLoad\":function(api){ \/* api.evalCommand('Segment((1,2),(3,4))');*\/ },\r\n\"showFullscreenButton\":true,\r\n\"scale\":1,\r\n\"disableAutoScale\":false,\r\n\"allowUpscale\":false,\r\n\"clickToLoad\":false,\r\n\"appName\":\"classic\",\r\n\"buttonRounding\":0.7,\r\n\"buttonShadows\":true,\r\n\"language\":\"pt\",\r\n\/\/ use this instead of ggbBase64 to load a material from geogebra.org\r\n\/\/ \"material_id\":\"RHYH3UQ8\",\r\n\/\/ use this instead of ggbBase64 to load a .ggb file\r\n\/\/ \"filename\":\"myfile.ggb\",\r\n\"ggbBase64\":\"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\",\r\n};\r\n\/\/ 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 applet2 = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet'); applet2.inject('ggbApplet2')};\r\napplet.setPreviewImage('data:image\/png;base64,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