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

Question 452737: A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse is 60 m
longer than the length of the longer leg. How long is the longer leg?
Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
Say the length of the longer leg is x. Then the hypotenuse measures x + 60. So, using the Pythagorean Theorem, x^2 + 180^2 = (x + 60)^2.
x^2 + 32400 = x^2 + 120x + 3600
32400 = 120x + 3600
120x = 28800
x = 240
The longer leg measures 240 m.
RELATED QUESTIONS
A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse (answered by Love math)

A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse (answered by ikleyn,Alan3354)

A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypotenuse (answered by stanbon)

10) A lot is in the shape of a right triangle. The shorter leg measures 120 m. The... (answered by mananth)

A lot is in the shape of a right triangle. The shorter leg measures 150 m. The... (answered by Loon Bajracharya)

A lot is in the shape of a right triangle. The shorter leg measures 90 m. The hypotenuse... (answered by FrankM)

A lot is in the shape of a right triangle. The shorter leg measures 180 meters. the... (answered by JulietG)

A lot is in the shape of a right triangle. the shorter leg measures 60 meters. the... (answered by richwmiller)

a lot is in the shape of a right triangle. the shorter leg measures 90 m. the hypotenuse... (answered by mananth)