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 length of the longer leg. How long is the longer leg?

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Question 1015865: A lot is in the shape of a right triangle. The shorter leg measures 90 m. The hypotenuse is 30 m longer than the length of the longer leg. How long is the longer leg?

Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
A is the short leg
B is the long leg
C is the hypotenuse
A%5E2%2BB%5E2=C%5E2
%2890%5E2%29%2B%28B%5E2%29=%28B%2B30%29%5E2
You see how we substituted "B+30" for C?
Now, simplify -
%288100%29%2B%28B%5E2%29=%28B%5E2%2B60B%2B900%29
%288100%29=%2860B%2B900%29
%287200%29=%2860B%29
B=120
Let's check quick -
%2890%5E2%29%2B%28120%5E2%29=%28120%2B30%29%5E2
%2890%5E2%29%2B%28120%5E2%29=%28150%29%5E2
%288100%29%2B%2814400%29=%2822500%29 <<< YES!