document.write( "Question 148671: The hypotenuse of a right triangle is 10. One side is 2 less than the other. Find the length of each leg. \n" ); document.write( "
Algebra.Com's Answer #109004 by ankor@dixie-net.com(22740)\"\" \"About 
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The hypotenuse of a right triangle is 10. One side is 2 less than the other. Find the length of each leg.
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\n" ); document.write( "Using our old friend: a^2 + b^2 = c^2
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\n" ); document.write( "Let a = x
\n" ); document.write( "Let b = (x+2)
\n" ); document.write( "Given: c = 10
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\n" ); document.write( "x^2 + (x+2)^2 = 10^2
\n" ); document.write( "FOIL (x+2)(x+2)
\n" ); document.write( "x^2 + (x^2 + 4x + 4) = 100
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\n" ); document.write( "2x^2 + 4x + 4 - 100 = 0
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\n" ); document.write( "2x^2 + 4x - 96 = 0
\n" ); document.write( "Simplify, /2
\n" ); document.write( "x^2 + 2x - 48 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x+8)(x-6) = 0
\n" ); document.write( "positive solution:
\n" ); document.write( "x = 6 is one leg and the other leg = 8
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\n" ); document.write( "Check solution:
\n" ); document.write( "6^2 + 8^2 =
\n" ); document.write( "36 + 64 = 100 which is 10^2
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