Question

Perry's school is due west of his house and due south of his friend Sasha's house. The

distance between the school and Sasha's house is 6 miles and the straight-line distance
between Perry's house and Sasha's house is 10 miles. How far is Perry's house from school?

Answer 1

8 miles

Explanation:

You can think of it as a triangle, which will look like the picture at the bottom.

You're trying to find the missing length, and to do that you can use the Pythagorean theorem.

That would be:

`6^(2) + x^(2) =10^(2)`

Then, solving:

`36 + x^(2) =100\\x^(2) = 64\\x = 8`

Therefore, the answer is 8 miles