{"id":334,"date":"2020-03-27T22:06:13","date_gmt":"2020-03-28T01:06:13","guid":{"rendered":"http:\/\/cinoto.com.br\/matematica\/?p=334"},"modified":"2020-03-27T22:06:13","modified_gmt":"2020-03-28T01:06:13","slug":"os-vertices-de-um-triangulo-sao-a10-b35-e-c-11","status":"publish","type":"post","link":"http:\/\/cinoto.com.br\/matematica\/os-vertices-de-um-triangulo-sao-a10-b35-e-c-11\/","title":{"rendered":"2) Os v\u00e9rtices de um triangulo s\u00e3o: A(1, 0), B(3, 5) e C(-1, 1). Obtenha o baricentro G do tri\u00e2ngulo e mostre que os tri\u00e2ngulos ABG, ACG e BCG t\u00eam a mesma \u00e1rea."},"content":{"rendered":"\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Resolu\u00e7\u00e3o:<\/h2>\n\n\n\n<p>= (1\/2).| 1&nbsp; 0&nbsp; 1|<br>&nbsp; &nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |-1&nbsp; 1&nbsp; 1|<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp;&nbsp; | 1&nbsp; 2&nbsp; 1|<\/p>\n\n\n\n<p>= (1\/2).|1 + 0 &#8211; 2 &#8211; 1 &#8211; 2 &#8211; 0|<br>= (1\/2).|-4|<br>= (1\/2).4<br>= 2<\/p>\n\n\n\n<p>BCG<br>= (1\/2).|xB &nbsp; yB &nbsp; 1|<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;&nbsp; |xC&nbsp; yC &nbsp; 1|<br>&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; |xG&nbsp; yG&nbsp; 1|<\/p>\n\n\n\n<p>= (1\/2).| 3&nbsp; 5&nbsp; 1|<br>&nbsp; &nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |-1&nbsp; 1&nbsp; 1|<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp;&nbsp; | 1&nbsp; 2&nbsp; 1|<\/p>\n\n\n\n<p>= (1\/2).|3 + 5 &#8211; 2 &#8211; 1 &#8211; 6 + 5|<br>= (1\/2).|4|<br>= (1\/2).4<br>= 2<\/p>\n\n\n\n<p>Ent\u00e3o todas as 3 \u00e1reas s\u00e3o iguais.<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[27],"class_list":["post-334","post","type-post","status-publish","format-standard","hentry","category-geometria-analitica","tag-medio"],"_links":{"self":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/334","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/comments?post=334"}],"version-history":[{"count":1,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/334\/revisions"}],"predecessor-version":[{"id":335,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/334\/revisions\/335"}],"wp:attachment":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/media?parent=334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/categories?post=334"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/tags?post=334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}