Question

In Rosewood City, the library is 6.5 miles fue south of the courthouse and 3.4 miles due west of the community swimming pool. What is the distance between the courthouse amd the community swimming pool?

If necessary, round your answer to the nearest tenth.

Answer 1

7.3 miles

Explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

3.4^2 + 6.5^2 = h^2

11.56+42.25=h^2

53.81= h^2

Taking the square root of each side

sqrt(53.81) = sqrt(h^2)

7.335529974=h

Rounding to the nearest tenth

7.3 =h