# Tamaiko Chappell

# ASSIGNMENT 9

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.

__Explorations__

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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