Solve the problem.
-A lot is in the shape of a right triangle. The shorter leg measures 60 m. The hypotenuse is 20 m longer than the length of the longer leg. How long is the longer leg?
A) 120 m
B)60 m
C)80m
D) 100 m

Question

Quizplus · Accepted Answer

Let the longer leg be x. According to the Pythagorean theorem, we know that $x^2+60^2 = (x+20)^2$. Expanding this equation, we get $x^2+3600 = x^2+40x+400$. Simplifying this equation, we get $40x = 3200$, which gives us $x = 80$. Therefore, the longer leg is 80m long. Choice C) is the correct answer.

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