{"version":"1.0","provider_name":"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques ","provider_url":"https:\/\/blogs.futura-sciences.com\/lehning","author_name":"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques ","author_url":"https:\/\/blogs.futura-sciences.com\/lehning","title":"Le th\u00e9or\u00e8me de la m\u00e9diane, par Herv\u00e9 Lehning","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"g6tg5GZ8PH\"><a href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/06\/02\/le-theoreme-de-la-mediane\/\">Le th\u00e9or\u00e8me de la m\u00e9diane<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/06\/02\/le-theoreme-de-la-mediane\/embed\/#?secret=g6tg5GZ8PH\" width=\"600\" height=\"338\" title=\"\u00ab\u00a0Le th\u00e9or\u00e8me de la m\u00e9diane\u00a0\u00bb &#8212; MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques \" data-secret=\"g6tg5GZ8PH\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script>\n\/*! This file is auto-generated *\/\n!function(d,l){\"use strict\";l.querySelector&&d.addEventListener&&\"undefined\"!=typeof URL&&(d.wp=d.wp||{},d.wp.receiveEmbedMessage||(d.wp.receiveEmbedMessage=function(e){var t=e.data;if((t||t.secret||t.message||t.value)&&!\/[^a-zA-Z0-9]\/.test(t.secret)){for(var s,r,n,a=l.querySelectorAll('iframe[data-secret=\"'+t.secret+'\"]'),o=l.querySelectorAll('blockquote[data-secret=\"'+t.secret+'\"]'),c=new RegExp(\"^https?:$\",\"i\"),i=0;i<o.length;i++)o[i].style.display=\"none\";for(i=0;i<a.length;i++)s=a[i],e.source===s.contentWindow&&(s.removeAttribute(\"style\"),\"height\"===t.message?(1e3<(r=parseInt(t.value,10))?r=1e3:~~r<200&&(r=200),s.height=r):\"link\"===t.message&&(r=new URL(s.getAttribute(\"src\")),n=new URL(t.value),c.test(n.protocol))&&n.host===r.host&&l.activeElement===s&&(d.top.location.href=t.value))}},d.addEventListener(\"message\",d.wp.receiveEmbedMessage,!1),l.addEventListener(\"DOMContentLoaded\",function(){for(var e,t,s=l.querySelectorAll(\"iframe.wp-embedded-content\"),r=0;r<s.length;r++)(t=(e=s[r]).getAttribute(\"data-secret\"))||(t=Math.random().toString(36).substring(2,12),e.src+=\"#?secret=\"+t,e.setAttribute(\"data-secret\",t)),e.contentWindow.postMessage({message:\"ready\",secret:t},\"*\")},!1)))}(window,document);\n<\/script>\n","thumbnail_url":"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2019\/10\/mediane1.jpg","thumbnail_width":840,"thumbnail_height":560,"description":"Par les id\u00e9es qu\u2019elle mobilise, la d\u00e9monstration du th\u00e9or\u00e8me de la m\u00e9diane est plus int\u00e9ressante que le r\u00e9sultat lui-m\u00eame. C\u2019est cependant naturellement que nous commencerons par l\u2019\u00e9noncer. Enonc\u00e9 On consid\u00e8re un triangle ABC, I le milieu du c\u00f4t\u00e9 BC. AI est donc une m\u00e9diane du triangle. La formule suivante permet de calculer sa longueur\u00a0: D\u00e9monstration &hellip; Continuer la lecture de  &rarr;"}