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Fitting an Equilateral Triangle in an Equilateral n-gon

Source: 2021 ISL G6

July 12, 2022
geometry

Problem Statement

Find all integers n≥3n\geq 3 for which every convex equilateral nn-gon of side length 11 contains an equilateral triangle of side length 11. (Here, polygons contain their boundaries.)
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