2

Part of 1995 Mexico National Olympiad

Problems(1)

Nice, maybe easy, geocombi.

Source: Mexico 1995 National Olympiad Problem 2

Consider 6 points on a plane such that 8 of the distances between them are equal to 1. Prove that there are at least 3 points that form an equilateral triangle.

geometrycircumcirclecombinatorics unsolvedcombinatorics