Question

4. Find the distance between points P(8, 2) and Q(3,
8) to the nearest tenth.

Answer 1

7.8

Explanation:

Imagine (or draw) a triangle with horizontal leg length (8 - 3), or 5, and vertical leg length |(2 - 8)| or |-6| = 6.

Then, by the Pythagorean Theorem, the distance between the two given points is the length of the hypotenuse of this triangle of leg lengths 5 and 6:

distance = +sqrt(5^2 + 6^2) = +sqrt(25 + 36) = 7.8 (to the nearest tenth).