# Sums of Squares of Segments Created by a Pedal Triangle

Sums of Squares of Segments Created by a Pedal Triangle

The triangle formed by projecting a point onto the sides of a triangle or their extensions is a pedal triangle.

Let ABC be a triangle, P a point, and A'B'C' the corresponding pedal triangle. Then ++=C'+A'+B'.

2

AC'

2

BA'

2

CB'

2

B

2

C

2

A