Question

A park has a walking path in shape of a rectangle. the side by a lake is 180 meters. the walking path has a 200-meter long diagonal that takes walkers to a basketball court. how long is the side adjacent to side by the lake?

Answer 1

a = 87.2 meters

Explanation:

Apply the Pythagorean Theorem here: a^2 + b^2 = c^2.

Let a represent the unknown "side that takes walkers to a court.

Let c represent the diagonal length and let b represent the side by the lake. Then b^2 + a^2 = c^2, or

180^2 + a^2 = 200^2, or

32400 + a^2 = 40000

Solving for a^2, we get a^2 = 7600, and from that we get a = 87.2 meters