a MID(point) geo problem
Source: EGMO 2023/2
April 16, 2023
EGMOEGMO 2023geometryeasy geometry
Problem Statement
We are given an acute triangle . Let be the point on its circumcircle such that is a diameter. Suppose that points and lie on segments and , respectively, and that and are tangent to circle .
Show that line passes through the orthocenter of triangle .