Write Up 9: Pedal Triangles Script

What is a Pedal Triangle:

Let's say that we arbitrarily pick points ABC in the plane to make the triangle ABC. Lets see this triangle below:

Now we can pick any arbitrary point P any where in the plane. See image below:

By extending the line created by the sides of triangle ABC, we can drop perependiculars from point P to the line created by each side of triangle ABC. See image below:

Now by connecting the points R, S, and T, we have created a new triangle RST. This triangle is called the Pedal Triangle for Pedal Point P. See the Pedal Triangle below:

To explore and investigate with the Pedal Triangle for the Pedal Point P, use the following GSP script tool file "Pedal Triangle" to do so!