Consider triangle ABC. If P is any point in the plane, then the triangle formed by constructing the perpendiculars to the sides of ABC (extended if necessary) from point P. If the points of intersections are located, say points E, F, and G, then the triangle formed is called the Pedal Triangle for Pedal point P.
Suppose P is the centroid of triangle ABC. Where is the pedal triangle?
What if P is on one of the sides of the triangle?
What if P is the center of the nine point circle for triangle ABC?
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