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? 
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shorter leg:: x
longer leg:: x + 4
hypotenuse:: x + 8
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Equation:
x^2 + (x+4)^2 = (x+8)^2
x^2 + x^2+8x+16 = x^2+16x+64
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x^2 - 8x - 48 = 0
Factor::
(x-12)(x+4) = 0
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Positive solution::
x = 12 cm (shorter leg)
x+4 = 16 cm (longer leg)
x+8 = 20 cm (hypotenuse)
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Cheers,
Stan H.
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