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

Circumcenter

Centroid

Incenter

Orthocenter

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

 

 

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