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Junior Regional Olympiad - FBH 2014 Grade 6 Problem 5

Source:

October 3, 2018
combinatoricshexagon

Problem Statement

Let ABCDEFABCDEF be a hexagon. Sides and diagonals of hexagon are colored in two colors: blue and yellow. Prove that there exist a triangle with vertices from set {A,B,C,D,E,F}\{A,B,C,D,E,F\} which sides are all same colour