Regional Olympiad - FBH 2016 Grade 11 Problem 4
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2016
September 22, 2018
geometryincenteranalytic geometry
Problem Statement
It is given circle with center in center of coordinate center with radius of . On circle and inside it are points with integer coordinates such that no three of them are collinear. Prove that there exist two triangles with vertices in given points such that they have same area