document.write( "Question 1195770: The three medians of right triangle ABC intersect at G as shown. Given than AC = 8, AB = 15, what is CG? \n" ); document.write( "
Algebra.Com's Answer #828291 by ikleyn(52814)\"\" \"About 
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document.write( "The median CF is the hypotenuse of the right triangle ACF; therefore\r\n" );
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document.write( "    |CF| = \"sqrt%288%5E2+%2B+%2815%2F2%29%5E2%29%29\" = \"sqrt%288%5E2+%2B+7.5%5E2%29\" = \"sqrt%2864+%2B+56.25%29\" = \"sqrt%28120.25%29\".\r\n" );
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document.write( "About the medians of any triangle, the widely known fact is that they intersect in one common point and\r\n" );
document.write( "this intersection point divides each median in proportion 2:1, counting from the vertex of the triangle.\r\n" );
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document.write( "THEREFORE,  |CG| = \"%282%2F3%29%2Asqrt%28120.25%29\" = 7.311, rounded with 3 decimal places.    ANSWER\r\n" );
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