document.write( "Question 1030392: Find the lengths of the sides of a right triangle if the hypotenuse is 9 centimeters longer than the shorter leg and 2 centimeters longer than the longer leg \n" ); document.write( "
Algebra.Com's Answer #645238 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Find the lengths of the sides of a right triangle if the hypotenuse is 9 centimeters longer than the shorter leg
\n" ); document.write( "and 2 centimeters longer than the longer leg
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document.write( "The Pythagorean equation is \r\n" );
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document.write( "\"%28x-9%29%5E2+%2B+%28x-2%29%5E2\" = \"x%5E2\".\r\n" );
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document.write( "Solve it and get the answer.\r\n" );
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document.write( "\"x%5E2+-+18x+%2B+81+%2B+x%5E2+-+4x+%2B+4\" = \"x%5E2\",\r\n" );
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document.write( "\"x%5E2+-+22x+%2B+85\" = \"0\",\r\n" );
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document.write( "(x-17)*(x-5) = 0,\r\n" );
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document.write( "x = 17  is the only root satisfying the condition.\r\n" );
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document.write( "Answer. Hypotenuse is 17 cm, the legs are 8 cm and 15 cm.\r\n" );
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