Let triangle ABC be any trianlge. Then let P be any point in the plane. By constructing the perpendiculars to the sides of ABC through P and construction the intersection R ,S, T , the triangle formed is a pedal triangel for pedal point, P.

Start with triangle ABC.

Pick a point P any where in the plane

Construct the perpendicular bisectors from the sides of ABC through P, label the intersection R, S, T. Now triangle RST is a pedal trinagle for pedal point P.

For a working script tool for a pedal triangle for any triangle ABC and point P click here. When the script opens select new script, make a triangle and a point, select custom tool and play around.