A pedal triangle is the triangle formed by first choosing an aribtrary point P in the same plane as a triangle ABC. The perpendiculars to the sides from point P are constructed and the points of intersection are labeled R, S, T. These points are the vertices of a pedal triangle.

Click Here to see a GSP script for the general construction of a pedal triangle.

What happens if pedal point P is outside of triangle ABC?

What happens if pedal point P is the centroid of triangle ABC?

What happens if P is the incenter of ABC?

What happens if P is the orthocenter of ABC?

What happens if P is the circumcenter of ABC?

What happens if P is the Center of the Nine Point Circle?

What happens if P is on a side of the triangle?

What happens if P is one of the vertices of triangle?

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