{"id":3442,"date":"2024-11-10T16:52:49","date_gmt":"2024-11-10T16:52:49","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3442"},"modified":"2024-11-16T07:07:03","modified_gmt":"2024-11-16T07:07:03","slug":"misma-area-diferentes-proporciones","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2024\/11\/10\/misma-area-diferentes-proporciones\/","title":{"rendered":"Misma \u00e1rea, diferentes proporciones"},"content":{"rendered":"<pre>\nProblema 6 del concurso Marat\u00f3 de problemes 2024\nSe dirige a una edad de: 14-15 a\u00f1os\n<\/pre>\n\n\n<p>En un tri\u00e1ngulo ABC, trazamos dos paralelas a la base AB por dos puntos M y N del lado AC, que llegan, respectivamente a los puntos P y R del lado AB.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/11\/364.proporciones.png\" alt=\"\" class=\"wp-image-3443\" \/><\/figure>\n\n\n\n<p>En el primer caso, cuando la trazamos por M, la proporci\u00f3n AM\/MC es p y medimos el \u00e1rea del trapecio MABP.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/11\/364.proporciones2.png\" alt=\"\" class=\"wp-image-3444\" \/><\/figure>\n\n\n\n<p>En el segundo caso, medimos el \u00e1rea del tri\u00e1ngulo NRC, y resulta ser la misma que la del anterior trapecio. \u00bfQu\u00e9 proporci\u00f3n AN\/NC hay?<\/p>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2024\/11\/16\/solucion-a-misma-area-distintas-proporciones\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 6 del concurso Marat\u00f3 de problemes 2024 Se dirige a una edad de: 14-15 a\u00f1os En un tri\u00e1ngulo ABC, trazamos dos paralelas a la base AB por dos puntos M y N del lado AC, que llegan, respectivamente a los puntos P y R del lado AB. En el primer caso, cuando la trazamos [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[676],"tags":[],"class_list":["post-3442","post","type-post","status-publish","format-standard","hentry","category-sin-categoria"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3442","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3442"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3442\/revisions"}],"predecessor-version":[{"id":3452,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3442\/revisions\/3452"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}