document.write( "Question 1086768: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 4 cm more than the shorter leg and the hypotenuse 8 cm more than the shorter leg. How long should the sides of the triangle​ be?\r
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Algebra.Com's Answer #700995 by stanbon(75887)\"\" \"About 
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A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 4 cm more than the shorter leg and the hypotenuse 8 cm more than the shorter leg. How long should the sides of the triangle​ be?
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\n" ); document.write( "shorter leg:: x
\n" ); document.write( "longer leg:: x + 4
\n" ); document.write( "hypotenuse:: x + 8
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\n" ); document.write( "Equation:
\n" ); document.write( "x^2 + (x+4)^2 = (x+8)^2
\n" ); document.write( "x^2 + x^2+8x+16 = x^2+16x+64
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\n" ); document.write( "x^2 - 8x - 48 = 0
\n" ); document.write( "Factor::
\n" ); document.write( "(x-12)(x+4) = 0
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\n" ); document.write( "Positive solution::
\n" ); document.write( "x = 12 cm (shorter leg)
\n" ); document.write( "x+4 = 16 cm (longer leg)
\n" ); document.write( "x+8 = 20 cm (hypotenuse)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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