document.write( "Question 1082349: In a plot, a triangle ABC is formed with its vertex, A(2,0), B(3,-2), and C(7,5). What is the intersection of the medians?
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Algebra.Com's Answer #696434 by ikleyn(52781)\"\" \"About 
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document.write( "The intersection of medians of a triangle is the \"center of masses\" of the triangle.\r\n" );
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document.write( "It is also called \"centroid\" and/or \"barycenter\".\r\n" );
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document.write( "Very well and widely known fact is that this point has coordinates (Xc,Yc), where\r\n" );
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document.write( "Xc = \"%28x%5B1%5D+%2B+x%5B2%5D+%2B+x%5B3%5D%29%2F3\",\r\n" );
document.write( "Yc = \"%28y%5B1%5D+%2B+y%5B2%5D+%2B+y%5B3%5D%29%2F3\".\r\n" );
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document.write( "In our case,  Xc = \"%282%2B3%2B7%29%2F3\" = \"12%2F3\" = 4  and  Yc = \"%280-2%2B5%29%2F3\" = \"3%2F3\" = 1.\r\n" );
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document.write( "So, the intersection of medians is the point (4,1).\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( "    - The Centroid of a triangle is the Intersection point of its medians \r
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