Question

HELP PLZ!!!!!!

Bruce's school is due west of his house and due south of his friend Avery's house. The
distance between the school and Avery's house is 6 miles and the straight-line distance
between Bruce's house and Avery's house is 7 miles. How far is Bruce's house from school? If
necessary, round to the nearest tenth.

Answer 1

3.6 miles

Explanation:

The three points form a right triangle. The hypotenuse is the distance from Bruce and Avery's house, and the first leg is the distance from Avery's house to the school. Using the Pythagorean Theorem's converse, sqrt(7^2-6^2), and rounding it to the nearest tenth, we get 3.6 miles.