document.write( "Question 1112200: The hypotenuse of a right triangle is 5 inches long. The longer leg is 1 inch longer than the shorter leg. Find the side lengths of the triangle. \n" ); document.write( "

Algebra.Com's Answer #727212 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "The sides are x, (x+1) and 5 (hypotenuse).\r\n" );
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document.write( "x^2 + (x+1)^2 = 5^2\r\n" );
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document.write( "2x^2 + 2x + 1 = 25\r\n" );
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document.write( "2x^2 + 2x - 24 = 0\r\n" );
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document.write( "x^2 + x - 12 = 0\r\n" );
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document.write( "(x+4)*(x-3) = 0\r\n" );
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document.write( "The only positive solution is x= 3.\r\n" );
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document.write( "ANswer.  The legs are 3 and 4 inches.  Classic (3,4,5)-right angled triangle.\r\n" );
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