computational geo with 4 points on the same triangle side
Source: III Soros Olympiad 1996-97 R2 10.2 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 31, 2024
geometry
Problem Statement
On a side of the triangle, take four points , , and , which are respectively the midpoint of this side, the foot of the bisector with the opposite angle of the triangle, the touchpoint of this side of the circle inscribed in the triangle and the foot of the corresponding altitude. Find if , .