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?
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.