Investigations of the Pedal Triangle

By Karl Mealor


Take any triangle and pick a point its interior, then construct the segments perpendicular to each side through the given point. The feet of these perpendicular segments are the vertices of the pedal triangle. The point you chose is known as the pedal point.

In triangle ABC below, triangle DEF is the pedal triangle for the given pedal point P.


What happens if the pedal point is the incenter?