SOLUTION: A lot is in the shape of a right triangle. The shorter leg measures 180 meters. the hypotenuse is 60 meters longer then the length of the longer leg. How long is the longer leg?

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Question 858232: A lot is in the shape of a right triangle. The shorter leg measures 180 meters. the hypotenuse is 60 meters longer then the length of the longer leg.
How long is the longer leg?
So confused
Thank you

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Let c be the hypotenuse. The hypotenuse of the triangle is 60 meters longer than the longer leg, so the hypotenuse = x + 60.
.
a%5E2+b%5E2=c%5E2
In this problem, a = 180 meters, b = x meters, and c = x + 60 meters.
.
180%5E2+x%5E2=%28x%2B60%29%5E2
32400 + x%5E2= x^2+120x+3600
.
Subtract x^2 from each side.
32400 = 120x + 3600
Subtract 3600 from each side
28880 = 120x
Divide each side by 120
240 = x
.
Sides are 180 and 240. Hypotenuse is 300.