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unscrew a square nut with a wrench, whose hole is regular hexagon

Source: Polish MO Finals 1950 p4

September 1, 2024
geometryhexagongeometric inequalitysquareGeometric Inequalities

Problem Statement

Someone wants to unscrew a square nut with side aa, with a wrench whose hole has the form of a regular hexagon with side bb. What condition should the lengths aa and bb meet to make this possible?