SOLUTION: in a right triangle the measures of the legs are 8 and x+6, and the measure of the hypotenuse is x+8. solve for x

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Question 294613: in a right triangle the measures of the legs are 8 and x+6, and the measure of the hypotenuse is x+8. solve for x
Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
Using Pythagoras
8^2 + (X + 6)^2 = (X + 8)^2
64 + X^2 + 12X + 36 = X^2 + 16X + 64
12X +36 = 16X
4X = 36
X = 9
Check sides are 8, 15, 17 which is a right-angled triangle