document.write( "Question 797192: the hypotenuse of a right triangle is 1 inch longer than the longer leg. the shorter leg is 7 inches shorter than the longer leg. find the length of the hypotenuse. \n" ); document.write( "
Algebra.Com's Answer #481705 by Cromlix(4381)\"\" \"About 
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Longer leg = x
\n" ); document.write( "Shorter leg = x - 7
\n" ); document.write( "Hypotenuse = 1 + x
\n" ); document.write( "x^2 + (x - 7)^2 = (1 + x)^2
\n" ); document.write( "x^2 + x^2 - 14x + 49 = 1 + 2x + x^2
\n" ); document.write( "Collect like terms:
\n" ); document.write( "x^2 - 16x + 48 = 0
\n" ); document.write( "(x - 4)(x - 12) = 0
\n" ); document.write( "x - 4 = 0
\n" ); document.write( "x = 4 (no answer as shorter leg = - number)
\n" ); document.write( "x - 12 = 0
\n" ); document.write( "x = 12
\n" ); document.write( "Longer leg = 12 inches
\n" ); document.write( "Shorter leg = 5 inches
\n" ); document.write( "Hypotenuse = 13 inches.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "
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