Assignment #9 ~ The Mettle of the Pedal...Triangle, that is!
Exploring Characteristics of a Pedal Triangle
Given Triangle ABC
By Kevin Mylod

Let triangle ABC (in green) be any triangle. Then if P is any point in the plane, then the triangle formed by
constructing perpendiculars to the sides of ABC (extended if necessary) locate three points R, S, and T that
are the intersections. Triangle RST (in red) is the Pedal Triangle for Pedal Point P.

To see the GSP script for the general construction of a pedal triangle to triangle ABC where P is any point in the plane of ABC, click here. Although this sketch will construct P inside of triangle ABC, the pedal point can be placed anywhere inside the plane. To manipulate P anywhere in the plane, click on the triangle above.

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

        


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