Solve the problem.
-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?
A) 180 m
B) 240 m
C) 300 m
D) 360 m

Question

Quizplus · Accepted Answer

The longer leg can be found using the Pythagorean theorem, $a^2 + b^2 = c^2$, where $a$ and $b$ are the legs and $c$ is the hypotenuse. Let $x$ be the length of the longer leg. The hypotenuse is $x + 60$. So, $180^2 + x^2 = (x + 60)^2$. Solving for $x$ gives $x = 240$ m.

Solve the Problem. -A Lot Is in the Shape of a Right Triangle