midpoint wanted, 3 perpendicular bisectors related
Source: Oral Moscow Geometry Olympiad 2015 grades 10-11 p2
August 6, 2019
geometryperpendicular bisectormidpoint
Problem Statement
Line is perpendicular to one of the medians of the triangle. The perpendicular bisectors of the sides of this triangle intersect line at three points. Prove that one of them is the midpoint of the segment formed by the remaining two.