1. What if pedal point P is the centroind of triangle ABC ?

One of vertex of triangle RST is some time located outside of triangle ABC.

2. What if pedal point P is the incenter of triangle ABC ?

Then the pedal triangle SRT inscripts the incenter of triangle ABC. If the triangle ABC moved any place, the triangle RST is insite of it.

3. What if pedal point P is the Orthocenter of triangle ABC ? Even if outside ABC?

Then the pedal triangle is Orthic triangle of triangle ABC, in other words the vertexes STR are the foot of altitudes of triangle ABC.

4. What if pedal point P is the Circumcenter of triangle ABC ? Even if outside ABC?

Then the pedal triangle is median triangle.

5.What if pedal point P is the center of nine point circle of triangle ABC ?

Then the pedal triangle is inside of the nine circle.