Exact Trilinear Coordinates and the Euler Line
Given a triangle , let be the centroid and the circumcenter. These points determine the Euler line, shown in black.[more]
For a point , the vertices of the pedal triangle of with respect to are the feet of the perpendiculars from to the sides of . Let , , be the exact trilinear coordinates of with respect to and let , , be the side lengths of .
Let , let be the circumradius and , where is the Brocard angle.
You can drag the points , , and .[less]