document.write( "Question 707306: The longer leg of a right triangle is ten less than three times the shorter leg. The hypotenuse is 4 more than the shorter leg. Please find the length of the shorter leg. \n" ); document.write( "
Algebra.Com's Answer #435657 by stanbon(75887)\"\" \"About 
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The longer leg of a right triangle is ten less than three times the shorter leg. The hypotenuse is 4 more than the shorter leg. Please find the length of the shorter leg.
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\n" ); document.write( "L = 3S - 10
\n" ); document.write( "H = S + 4
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\n" ); document.write( "Equation:
\n" ); document.write( "H^2 = S^2 + L^2
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\n" ); document.write( "(S+4)^2 = S^2 + (3S-10)^2
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\n" ); document.write( "S^2 + 8S + 16 = S^2 + 9S^2 -60S + 100
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\n" ); document.write( "8S + 16 = 8S^2 -60S + 100
\n" ); document.write( "8S^2 -68S + 84 = 0
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\n" ); document.write( "2S^2 - 17S + 21 = 0
\n" ); document.write( "(2S-3)(S-7) = 0
\n" ); document.write( "S = 3/2 or S = 7
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\n" ); document.write( "Feasible answer: Shortest leg = 7
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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