For a given triangle and a point P anywhere in the plane, construct perpendicular segments, passing through point P, to the sides of the triangle. The three points of intersection of the sides of the triangle and the perpendiculars are points R, S, and T. Construct segments connecting R, S, and T. Triangle RST is the Pedal Triangle for pedal point P.

For a GSP script for the pedal triangle, click here.

What happens if the pedal point is the centroid, G, of the triangle? To see a GSP sketch of the pedal triangle RST with the centroid as the pedal point, click here.

What happens if the pedal point is the incenter, I, of the triangle? For a GSP animation click here.

What happens if the pedal point is the orthocenter, H, of the triangle? For a GSP animation click here.

What happens if the pedal point is the circumcenter, C, of the triangle? For a GSP animation click here.

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