Angie's school is due west of her house and due south of her friend Kenneth's house. The distance between the school and Kenneth's house is 6 miles and the straight-line distance between Angie's house and Kenneth's house is 10 miles. How far is Angie's house from school? (Pythagorean theorem)

Answer 1

To find the distance between Angie's house and school, we can use the Pythagorean theorem.

Let's call the distance between Angie's house and school x miles.

We are given that the distance between Angie's school and Kenneth's house is 6 miles, and the straight-line distance between Angie's house and Kenneth's house is 10 miles.

Using the Pythagorean theorem, we can set up the following equation:

x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8

Therefore, the distance between Angie's house and school is 8 miles.