document.write( "Question 881678: In a Triangle abc what is the distance between the midpoint of bc and the foot of the perpendicular from a to bc, if the length of the sidesof bc,ca and ab are 5cm,7cm,6cm respectively \n" ); document.write( "
Algebra.Com's Answer #532473 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Let M be the midpoint of BC\r\n" );
document.write( "Let F be the foot of the perpendicular from A to BC\r\n" );
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document.write( "We find cos(B) by using the law of cosines on triangle ABC\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Acos%28B%29%2C%22%22=%22%22%2C%28a%5E2%2Bc%5E2-b%5E2%29%2F%282ac%29%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Acos%28B%29%2C%22%22=%22%22%2C%2825%2B36-49%29%2F60%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Acos%28B%29%2C%22%22=%22%22%2C12%2F60%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Acos%28B%29%2C%22%22=%22%22%2C1%2F5%29\"\r\n" );
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document.write( "From right triangle ABF,\r\n" );
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document.write( "\"BF%2F%28AB%29\"\"%22%22=%22%22\"\"cos%28B%29\"\r\n" );
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document.write( "\"BF\"\"%22%22=%22%22\"\"AB%2Acos%28B%29\"\r\n" );
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document.write( "\"BF\"\"%22%22=%22%22\"\"6%2Aexpr%281%2F5%29\"\r\n" );
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document.write( "\"BF\"\"%22%22=%22%22\"\"6%2F5\"\r\n" );
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document.write( "Since BC=5 and M is the midpoint of BC, and BC = 5,\r\n" );
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document.write( "BM = half of 5 or \"5%2F2\"\r\n" );
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document.write( "FM = BM - BF = \"5%2F2+-+6%2F5\" = \"25%2F10-12%2F10\" = \"13%2F10\" = 1.3\r\n" );
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document.write( "Edwin
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