Incircle and circumcircle
Source: tst- Greece 2019
September 23, 2019
geometry unsolvedgeometrycircumcircle
Problem Statement
Let a triangle inscribed in a circle with center . Let the incenter of triangle and the contact points of the incircle with sides of triangle respectively . Let also the foot of the perpendicular line from to the line .Prove that line passes from the antidiametric point of in the circle .( is a diametre of the circle ).