SOLUTION: One leg of a right triangle is 2 cm longer than the other leg, and the hypotenuse is 3 cm longer than the shorter leg. Find all sides of the triangle
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Question 962684: One leg of a right triangle is 2 cm longer than the other leg, and the hypotenuse is 3 cm longer than the shorter leg. Find all sides of the triangle
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
length of shorter leg = x
x^2 + (x+2)^2 = (x+3)^2
x^2 - 2x - 5 = 0
shorter leg = x = 1 + sqrt(6)
longer leg = x+2 = 3 + sqrt(6)
hypotenuse = x+3 = 4 + sqrt(6)
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