SOLUTION: a lot is in the shape of a right triangle. the shorter leg measures 90 m. the hypotenuse is 30 m longer than the lenght of the langer leg. how long is the longer leg?

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Question 296505: a lot is in the shape of a right triangle. the shorter leg measures 90 m. the hypotenuse is 30 m longer than the lenght of the langer leg. how long is the longer leg?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the longer leg be x
hypotenuse = x+30
shorter leg = 90
90^2 + x^2= (x+30)^2
90^2 +x^2= x^2+60x+900
8100-900= -x^2+x^2 +60x

7200=60x
x=7200/60
x=120 m the length of longer leg