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

Answer:

8 miles

Step-by-step 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