The coordinate m is 2.5 and mn=4. what are the possible coordinates for n

Refer to the figure shown below.

The coordinates of point m are (2,5).
Let (x,y) = the coordinates of pont n.

Because mn = 4, use the Pythagorean theorem to obtain
(x - 2)² + (y - 5)² = 4²

This represents a circle with center at (2,5) and radus = 4.

Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.