#### What happens when the pedal point is the Centroid of the Triangle?

Since the centroid must remain inside of the
triangle, it would be nice if the pedal triangle would also remain
bounded by the triangle when the pedal point is the centroid.
Does this happen?

Here is the pedal triangle when the original
triangle is obutse.

When the original triangle is obtuse, the pedal
triangle extends outside of the original triangle.

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