In Greenville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between t

Question

3 years ago

9

In Greenville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between t

he library and the courthouse is 7 kilometers and the distance between the courthouse and the city pool is 25 kilometers, how far is the library from the community pool?

Mathematics

1 answer:

Otrada [13] · Answer 1 · 2022-12-09T21:31:12+03:00

Otrada [13]3 years ago

3 0

Answer:

24 km

Step-by-step explanation:

this is a right triangle

use the pythagorean theorem

a² + b² = c²

a² + 7² = 25²

a² + 49 = 625

Subtract 49 from both sides

a² = 576

Take the square root of oth sides

a = 24

24 km