document.write( "Question 1164390: The shortest leg of a triangle is 7 inches shorter than the other leg. The hypotenuse of this triangle is 13 inches. What are the lengths of the two legs of this triangle? \n" ); document.write( "

Algebra.Com's Answer #788782 by ikleyn(52817) $\"\"$ $\"About$

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document.write( "The second famous Pythagorean triple after (3,4,5)  with  3^2 + 4^2 = 5^2\r\n" );
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document.write( "is (5,12,13)  with  5^2 + 12^2 = 25 + 144 = 169 = 13^2.\r\n" );
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document.write( "So, your triangle is (5,12,13) inches.    ANSWER\r\n" );
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document.write( "Alternatively,  you can solve this quadratic equation\r\n" );
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document.write( "    x^2 + (x-7)^2 = 13.\r\n" );
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document.write( "You will get the same triangle, then.\r\n" );
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document.write( "After doing some work, of course.\r\n" );
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