document.write( "Question 754441: a garden has the shape of a right triangle with one leg 8 meters longer than the other. the hypotenuse is 8 meters less than twice the length of the shorter leg. what is the length of the shorter length?
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Algebra.Com's Answer #459081 by stanbon(75887)\"\" \"About 
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a garden has the shape of a right triangle with one leg 8 meters longer than the other. the hypotenuse is 8 meters less than twice the length of the shorter leg. what is the length of the shorter length?
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\n" ); document.write( "Let shorter let be \"x\".
\n" ); document.write( "Other leg is \"x+8\"
\n" ); document.write( "hypotenuse is 2x-8
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\n" ); document.write( "Equation:
\n" ); document.write( "x^2 + (x+8)^2 = (2x-8)^2
\n" ); document.write( "x^2 + x^2 + 16x + 64 = 4x^2 -32x + 64
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\n" ); document.write( "2x^2 -48x = 0
\n" ); document.write( "2x(x-24) = 0
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\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 24 meter (shorter leg)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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