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MathNet 2021 — Part 08 Question 37

Math Olympiad Vault · MathNet 2021 — Part 08

Question 37

Nataša joined a square and an equilateral triangle along one side to make a pentagon, intending to use copies of it to form an infinite pattern that does not cover the whole plane. Does Nataša's pattern cover more than $75\%$ of the area of the plane?

Question illustration

Question illustration