{"id":13058,"date":"2017-11-26T21:31:15","date_gmt":"2017-11-26T21:31:15","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13058"},"modified":"2022-01-17T21:09:02","modified_gmt":"2022-01-17T21:09:02","slug":"as-alturas-de-um-triangulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13058","title":{"rendered":"As alturas de um tri\u00e2ngulo"},"content":{"rendered":"<ol>\n<li>Desenha um tri\u00e2ngulo acut\u00e2ngulo [ABC].<\/li>\n<li>Tra\u00e7a as tr\u00eas alturas desse tri\u00e2ngulo.<\/li>\n<li>Assinala o ponto de interse\u00e7\u00e3o das tr\u00eas alturas.<\/li>\n<li>Explora a anima\u00e7\u00e3o de geometria din\u00e2mica para todo o tipo de tri\u00e2ngulo.<\/li>\n<\/ol>\n<p><!--more--><\/p>\n<\/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\": 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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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