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
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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
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document.write( "The sides are_________\r
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Algebra.Com's Answer #292335 by stanbon(75887)![]() ![]() ![]() 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 \n" ); document.write( "--- \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) \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " |