If the point P (x, 3) is equidistant from the points A (7,-1) and B (6, 8), find the value of x and find the distance AP.

Coordinates are A (7,-1) and B (6, 8)

The point P (x, 3) is equidistant.

Using distance formula =

⇒ PA = PB

On squaring both sides, we get

=

=

=

AP = = = units