document.write( "Question 1041673: Given a triangle whose vertices are A(4,-4) B(10,-4) and C(2,6). Find the point on each median that is two-thirds of the distance from the vertex to the midpoint of the opposite side. \n" ); document.write( "
Algebra.Com's Answer #656677 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "Given a triangle whose vertices are A(4,-4) B(10,-4) and C(2,6). Find the point on each median that is two-thirds
\n" ); document.write( "of the distance from the vertex to the midpoint of the opposite side.
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document.write( "Actually, this point (intersection of medians of a triangle) is the \"centroid of the triangle\", or \"center of mass of the triangle\". \r\n" );
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document.write( "See the lesson The Centroid of a triangle is the Intersection point of its medians in this site.\r\n" );
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document.write( "And its coordinates are \r\n" );
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document.write( "\"x%5B0%5D\" = \"%28x%5BA%5D+%2B+x%5BB%5D+%2B+x%5BC%5D%29%2F3\" = \"%284%2B10%2B2%29%2F3\" = \"16%2F3\" = \"5\"\"1%2F3\",\r\n" );
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document.write( "\"y%5B0%5D\" = \"%28y%5BA%5D+%2B+y%5BB%5D+%2B+y%5BC%5D%29%2F3\" = \"%28-4-4%2B6%29%2F3\" = \"-4%2F3\" = \"-1\"\"1%2F3\".\r\n" );
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