Polyline divides triangle into equal figures
Source: Kvant Magazine No. 2 2020 M2590
March 10, 2023
geometryareasKvant
Problem Statement
In an acute triangle the point is the circumcenter, is the foot of the perpendicular from onto , and and are the projections of on and , respectively. Prove that the polyline divides the triangle in two figures of equal area.Proposed by I. A. Kushner