document.write( "Question 417593: I have been working on this word problem awhile and haven't come up with an answer yet. Can you please help me?\r
\n" ); document.write( "\n" ); document.write( "A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 4cm 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
\n" ); document.write( "\n" ); document.write( "The sides are_________\r
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Algebra.Com's Answer #292335 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 4cm more than the shorter leg and the hypotenuse 8 cm more than the shorter leg. How long should the sides of the triangle be?
\n" ); document.write( "---
\n" ); document.write( "short leg = x
\n" ); document.write( "longer leg = x+4
\n" ); document.write( "---
\n" ); document.write( "hypotenuse = x+8
\n" ); document.write( "-----
\n" ); document.write( "x^2 + (x+4)^2 = (x+8)^2
\n" ); document.write( "---
\n" ); document.write( "x^2 + x^2+8x+16 = x^2+16x+64
\n" ); document.write( "----
\n" ); document.write( "x^2-8x-48 = 0
\n" ); document.write( "(x-12)(x+4) = 0
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\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 12 (shorter)
\n" ); document.write( "x+4 = 16 (longer)
\n" ); document.write( "x+8 = 20 (hypotenuse)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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