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