document.write( "Question 203722This question is from textbook Algeba Struture and Method
\n" ); document.write( ": A right triangle has sides whose lengths in feet are consecutive even integers. determine the length of each side? \n" ); document.write( "
Algebra.Com's Answer #153706 by nerdybill(7384)\"\" \"About 
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A right triangle has sides whose lengths in feet are consecutive even integers. determine the length of each side?
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\n" ); document.write( "Let x = shortest side
\n" ); document.write( "then
\n" ); document.write( "x+2 = second side
\n" ); document.write( "x+4 = hypotenuse
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\n" ); document.write( "Applying Pythagorean theorem:
\n" ); document.write( "x^2 + (x+2)^2 = (x+4)^2
\n" ); document.write( "x^2 + x^2+4x+4 = x^2+8x+16
\n" ); document.write( "2x^2+4x+4 = x^2+8x+16
\n" ); document.write( "x^2+4x+4 = 8x+16
\n" ); document.write( "x^2-4x+4 = 16
\n" ); document.write( "x^2-4x-12 = 0
\n" ); document.write( "(x-6)(x+2) = 0
\n" ); document.write( "x = {-2, 6}
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\n" ); document.write( "Throwing out the negative solution we have:
\n" ); document.write( "x = 6
\n" ); document.write( "x+2 = 8
\n" ); document.write( "x+4 = 10
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\n" ); document.write( "The three sides are 6, 8, 10 \n" ); document.write( "
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