document.write( "Question 938606: One leg of a right triangle has length 7. The lengths of the other two sides are whole numbers. The length of the other leg is _____ and the length of the hypotenuse is ______. \r
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Algebra.Com's Answer #571811 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "Let the other leg = y and the hypotenuse = z \r\n" );
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document.write( "Then by the Pythagorean theorem:\r\n" );
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document.write( "That expresses 49 as the product of two positive integers\r\n" );
document.write( "with z-y less than z+y \r\n" );
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document.write( "49 can be written as the product of two positive integers\r\n" );
document.write( "in only 3 ways:\r\n" );
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document.write( ", , \r\n" );
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document.write( "but only the first way has the first factor smaller than the second.\r\n" );
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document.write( "So\r\n" );
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document.write( "Solve that and get z=25, y= 24\r\n" );
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document.write( "So the right triangle has legs 7, 24, and hypotenuse 25. \r\n" );
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document.write( "Edwin

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