By Hyeonmi Lee

9. Pedal Triangles

Given a point P, the pedal triangle of P is the triangle whose polygon vertices are the feet of the perpendiculars from P to the side lines.

Now, let's explore the pedal triangle according to the position of the point P

Let's change the position of the point p

If the p is





Now it's about time to probe someting more advanced

The Simson line is the line containing the feet( p1, p2, p3) of the perpendiculars from an arbitrary point P on the circumcircle of a triangle to the sides or their extensions of the triangle.

At the end, Let's explore the trace of the simpson line