In Kingwood, the library is 5 kilometers due south of the courthouse and 12 kilometers due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?

Answer 1

To find the distance between the courthouse and the community swimming pool, we can use the Pythagorean theorem since the library, courthouse, and swimming pool form a right triangle.

Let the distance between the courthouse and the swimming pool be x kilometers.

Using the Pythagorean theorem:
x^2 = 5^2 + 12^2
x^2 = 25 + 144
x^2 = 169
x = √169
x = 13

Therefore, the distance between the courthouse and the community swimming pool is 13 kilometers.