Question

Find the distance between K(9, 2) and 1(-3, 9) to the

nearest tenth.
A) 12.5
B) 13.8
C) 13.9
D) 19.3

Answer 1

13.9 (Answer C)

Explanation:

As we go from (-3, 9) to (9, 2), x increases by 12 and y decreases by 7.

Picture a triangle with base 12 and height 7, Use the Pythagrean Theorem to find the length of the hypotenuse, which represents the distance between (-3, 9) and (9, 2):

distance = √(12² + 7²) = √(144 + 49) = √193.

To the nearest tenth, this distance is 13.9 (Answer C)