Pedal triangle
![A triangle ABC in black, the perpendiculars from a point P in blue, and the obtained pedal triangle LMN in red.](/Images/godic/202502/01/Pedal_Triangle.svg2906.png")
![The case when P is on the circumcircle, and the pedal triangle degenerates into a line (red).](/Images/godic/202502/01/Pedal_Line.svg2906.png")
In geometry, a pedal triangle is obtained by projecting a point onto the sides of a triangle.
More specifically, consider a triangle ABC, and a point P that is not one of the vertices A, B, C. Drop perpendiculars from P to the three sides of the triangle (these may need to be produced, i.e., extended). Label L, M, N the intersections of the lines from P with the sides BC, AC, AB. The pedal triangle is then LMN.