document.write( "Question 275267: In a right triangle one side is 1 unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse. \n" ); document.write( "
Algebra.Com's Answer #200774 by stanbon(75887)\"\" \"About 
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In a right triangle one side is 1 unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.
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\n" ); document.write( "shorter side: x
\n" ); document.write( "longer side: x+1
\n" ); document.write( "hypotenuse: sqrt(x^2 + x^2+2x+1) = sqrt(2x^2 + 2x + 1)
\n" ); document.write( "---
\n" ); document.write( "Equation:
\n" ); document.write( "x + x+1 + sqrt(2x^2 + 2x + 1) = 12
\n" ); document.write( "sqrt(2x^2 + 2x + 1) = 11-2x
\n" ); document.write( "Square both sides:
\n" ); document.write( "2x^2 + 2x + 1 = 121 - 44x + 4x^2
\n" ); document.write( "2x^2 -46x + 120 = 0
\n" ); document.write( "x^2 - 23x + 60 = 0
\n" ); document.write( "(x-20)(x-3) = 0
\n" ); document.write( "x = 3
\n" ); document.write( "--
\n" ); document.write( "If x = 3:
\n" ); document.write( "hypotenuse = sqrt(18+6 + 1) = 5
\n" ); document.write( "short side = 3
\n" ); document.write( "longer side = 4
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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