Question

Washington is 44 miles south of Lawrence. and midland is 63 miles east of Lawrence.

How far apart are Washington and midland?

A: 19 miles
B: 27 miles
C: 77 miles
D: 107 miles ​

Answer 1

C: 77 miles

Explanation:

The points form a right triangle triangle with the legs being 44 and 63 and the distance between Washington and Midland being the hypotenuse.

See graph and connect the dots.

We can use the Pythagorean theorem to find the hypotenuse

a^2 +b^2 =c^2

44^2 + 63^2 = c^2

1936 + 3969 = c^2

5905 = c^2

Take the square root of each side

76.84399781

Rounding to the nearest mile

77 miles