Consider any right triangle with base b and height h, situated as shown. Show that the midpoint of the hypotenuse P is equidistant from the three vertices of the triangle.

Determine whether each of the following points lies on the unit circle, x2 + y = 1.

(0, h) (0,0) (b, 0) Unit circle: x2 + y2 = 1 2 x -2