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MathNet 2000 — Math Olympiad Vault Question 82

Math Olympiad Vault · MathNet 2000 — Math Olympiad Vault

Question 82

An equilateral triangle of side length $1$ and five congruent equilateral triangles of side length $s\lt 1$ are given. Prove that if the large triangle can be covered by the five small triangles, then it can already be covered by four of them.