fixed point, S_{KMC} + S_{KAC}=S_{ABC}, area condition , two non constant points
Source: 2010 Oral Moscow Geometry Olympiad grades 10-11 p3
May 8, 2020
geometryfixedFixed pointarea of a triangleareas
Problem Statement
On the sides and of triangle , points and are taken, respectively, so that . Prove that all such lines pass through one point.