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)
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.