Point A (8; 0) and point B (2; 5) are marked on the coordinate plane. Find the distance between these points.

The distance between two points A (x1; y1) and B (x2; y2) is found by the formula square root of (x1 – x2) ^ 2 + (y1 – y2) ^ 2.

Substitute the corresponding coordinates and calculate the value of the expression (x1 – x2) ^ 2 + (y1 – y2) ^ 2:

(8 – 2) ^ 2 + (0 – 5) ^ 2 = 6 ^ 2 + 25 = 36 + 25 = 61.

Since this is the square of the distance between points, the distance between A and B is equal to the square root of 61.