Pedal Point at Orthocenter of ABC

When the pedal point is located at the orthocenter of triangle ABC, the
pedal triangle becomes the orthic triangle. This is illustrated in the picture
below by the altitudes(in blue) of triangle of ABC. Since the orthic triangle
is the triangle connecting the feet of the altitudes, one will notice that
the feet of the altitudes are the vertices of the pedal triangle thus the
orthic triangle and the pedal triangle are the same triangle when the pedal
point is located at the orthocenter.

If the orthocenter is located outside of triangle ABC, the pedal triangle
is still the same as the orthic triangle as is evident from the image below.
Another point worth mentioning about the pedal triangle(or orthic triangle
since they are the same triangle) is that when the orthocenter is outside
triangle ABC, the vertice of triangle ABC that is the vertex of the obtuse
angle of ABC becomes the incenter of the pedla triangle(or orthic triangle).
The proof of this can be found in a discussion on **Centers
of an Orthic Triangle**.

**Return to Pedal Points and Pedal Triangles**