document.write( "Question 251486: In a triangle, the lengths of three medians are 4, 5 and 6, find the area of the triangle. \n" ); document.write( "
Algebra.Com's Answer #183155 by Theo(13342)![]() ![]() You can put this solution on YOUR website! area of a triangle in terms of the median is expressed as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The area of a triangle can be expressed in terms of the medians by:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "see http://mathworld.wolfram.com/TriangleMedian.html for details.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in terms of your problem:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m1 = 4 \n" ); document.write( "m2 = 5 \n" ); document.write( "m3 = 6 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area of the triangle is therefore:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which becomes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 13.22875656\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's another reference:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.math10.com/en/geometry/median.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's yet another.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://pballew.net/medians.htm\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |