#### Pedal Triangles

by
#### Julia Neal

Let triangle ABC 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 is the Pedal Triangle for Pedal Point P.

Click **here**
to open a GSP sketch that has a tool to create the pedal triangle
for any triangle and point.

Now, let's look at different cases where the
pedal point is one of the centers of the original triangle.

Click **here**
for an investigation where the pedal point is the Centroid.

Click **here**
for an investigation where the pedal point is the Incenter.

Click **here**
for an investigation where the pedal point is the Othocenter.

Click **here**
for an investigation where the pedal point is the Circumcenter.

Click **here**
to return to Julie's main page.