document.write( "Question 1056237: The shortest leg of a triangle is 7 centimeters shorter than the other leg. The hypotenuse of this triangle is 13 centimeters. What are the lengths of the two legs of this triangle?\r
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Algebra.Com's Answer #671480 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "The shortest leg of a triangle is 7 centimeters shorter
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document.write( "\"a%5E2%2Bb%5E2=c%5E2\"\r\n" );
document.write( "\"a%5E2%2B%28a-7%29%5E2=13%5E2\"\r\n" );
document.write( "\"a%5E2%2B%28a%5E2-14a%2B49%29=169\"\r\n" );
document.write( "\"a%5E2%2Ba%5E2-14a%2B49=169\"\r\n" );
document.write( "\"2a%5E2-14a-120=0\"\r\n" );
document.write( "\"a%5E2-7a-60=0\"\r\n" );
document.write( "\"%28a-12%29%28a%2B5%29=0\"\r\n" );
document.write( "a-12 = 0;   a+5 = 0\r\n" );
document.write( "   a = 12;    a = -5\r\n" );
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document.write( "Discard the negative answer.\r\n" );
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document.write( "Since b=a-7,\r\n" );
document.write( "      b=12-7,\r\n" );
document.write( "      b=5 \r\n" );
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document.write( "Edwin

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