document.write( "Question 1153739: The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter.
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Algebra.Com's Answer #776021 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let H be the hypotenuse length.\r\n" );
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document.write( "Then your equation is\r\n" );
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document.write( "     +  = .\r\n" );
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document.write( "Solve this quadratic equation and find H.\r\n" );
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document.write( "Then evaluate the lengths of the legs (H-8) and (H-1).\r\n" );
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document.write( "By knowing the sides of the triangle, you will find its perimeter.\r\n" );
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document.write( "ANSWER.  It is the Pythagorean triangle (5, 12, 13) with the perimeter of 30 units.\r\n" );
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