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MathNet 2024-part-05 — 168 problems (EN–VI) Question 7

Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)

Question 7

A rhombus of side length 1 and internal angle 60° is called a diamond. Suppose that a regular hexagon of side length $n$ is dissected into diamonds. Prove that each main diagonal of the hexagon halves exactly $n$ diamonds.