SOLUTION: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. H

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Question 470922: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. How long should the sides of the right triangle be?
pls help! thanks, roya

Answer by Alan3354(69443) About Me  (Show Source):
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 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. How long should the sides of the right triangle be?
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s = shortest leg
s + 1 = 2nd leg
h = s+2 (hypotenuse)
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%28s%2B2%29%5E2+=+s%5E2+%2B+%28s%2B1%29%5E2
s%5E2+%2B+4s+%2B+4+=+2s%5E2+%2B+2s+%2B+1
s%5E2+-+2s+-+3+=+0
(s-3)*(s+1) = 0
s = -1 Ignore
s = 3
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Sides are 3, 4 & 5