SOLUTION: Suppose that one leg of a right triangle is 14 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer leg. Find the lengths of all three sides of the ri

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Question 205683: Suppose that one leg of a right triangle is 14 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer leg. Find the lengths of all three sides of the right triangle.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="longer leg"

by Pythagoras ___ x^2 + (x - 14)^2 = (x + 2)^2

x^2 + x^2 - 28x + 196 = x^2 + 4x + 4

x^2 - 32x + 192 = 0

(x - 24) (x - 8) = 0

since the leg must be longer than 14, x = 24