Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point? A. 8.4 miles B. 9.4 miles C. 9.5 miles D. 13.1 miles *PLEASE SHOW WORK!*

Mathematics · Middle School · Thu Jan 21 2021

Answered on

Based on the given conditions

We have a right triangle who’s sides are 5 (a) and 8 (b). We need to know the hypotenuse (c) of this triangle.

then 

a^2 + b^2 = c^2

5^2 + 8^2 = c^2

25 + 64 = c^2

89 = c^2

9.433 miles = c

the nearest tenth of a mile = 9.4 miles