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?
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s = shortest leg
s + 1 = 2nd leg
h = s+2 (hypotenuse)
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{{{(s+2)^2 = s^2 + (s+1)^2}}}
{{{s^2 + 4s + 4 = 2s^2 + 2s + 1}}}
{{{s^2 - 2s - 3 = 0}}}
(s-3)*(s+1) = 0
s = -1 Ignore
s = 3
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Sides are 3, 4 & 5