Assignment 9 continued: 

Special Pedal Triangles

by Kristina Dunbar, UGA

This page contains pedal triangles for special cases when the pedal point is the centroid or incenter of the original triangle.

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

Here's what it looks like:

When the pedal point is the centroid of the original triangle, the pedal triangle is always inside the original triangle ABC.  Here are what the obtuse and right cases look like:

What happens when the pedal point P is the incenter of triangle ABC?

Here's what it looks like:

Like the case where the pedal point is the centroid, when the pedal point is the incenter of the original triangle, the pedal triangle is always inside the original triangle ABC.  Here are what the obtuse and right cases look like:

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