SOLUTION: A lot is in the shape of a right triangle. The shorter leg measures 150m. The hypotenuse is 50m longer than the length of the longer leg. How long is the longer leg?
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Question 729980: A lot is in the shape of a right triangle. The shorter leg measures 150m. The hypotenuse is 50m longer than the length of the longer leg. How long is the longer leg? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! A lot is in the shape of a right triangle. The shorter leg measures 150m. The hypotenuse is 50m longer than the length of the longer leg. How long is the longer leg?
Let x = length (m) of longer leg
then
x+50 = length of hypotenuse
.
applying Pythagorean theorem:
150^2 + x^2 = (x+50)^2
150^2 + x^2 = (x+50)(x+50)
22500 + x^2 = x^2+100x+2500
22500 = 100x+2500
20000 = 100x
200 m = x (longer leg)
