SOLUTION: The hypotenuse of a right triangle is 10 m long. The longer leg is 2 m longer than the shorter leg. Find the side lengths of the triangle.

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Question 1030795: The hypotenuse of a right triangle is 10 m long. The longer leg is 2 m longer than the shorter leg. Find the side lengths of the triangle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!


x%5E2+%2Bx%5E2%2B4x%2B4=100

2x%5E2%2B4x-96=0
/2
x%5E2%2B2x-48=0
x%5E2%2B8x-6x-48=0

x%28x%2B8%29-6%28x%2B8%29+=0

(x+8)(x-6)=0
x=6 OR -8
taking positive value x = 6
6m & 8m are the legs of the triangle