document.write( "Question 1103741: In △ABC, DG=32 cm .\r
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document.write( "What is the length of ADŻŻŻŻŻ?\r
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document.write( " cm\r
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document.write( "An acute triangle A B C is drawn. E is the midpoint of side A C. Segment A E and segment C E are labeled with double tick mark. F is the midpoint of side A B. Segment A F and segment F B are labeled with single tick mark. D is the midpoint of side B C. Segment B D and segment C D are labeled with triple tick mark. Line segment A D and C F and B F are medians of the triangle. Medians intersect with each other at an interior point labeled as G. \n" );
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Algebra.Com's Answer #718430 by ikleyn(52884) You can put this solution on YOUR website! . \n" ); document.write( "There is well known property of medians of a triangle:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " In any triangle, medians are concurrent and their common intersection point \r\n" ); document.write( "\r\n" ); document.write( " divides each median in proportion 2:1, counting the median parts from the vertex.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, if DG = 32 cm, then AG = 64 cm, and the entire median AD is 32 + 64 = 96 cm.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On the property of medians, see the leson\r \n" ); document.write( "\n" ); document.write( " - Medians of a triangle are concurrent\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |