PUMaC 2025 · 几何（B 组） · 第 2 题

PUMaC 2025 — Geometry (Division B) — Problem 2

Let ABC be an equilateral triangle with side length 1. Let D be the midpoint of BC , and let E and F be points on CA and AB , respectively, such that AE = BF . Given that the area of 1 △ DEF is the area of △ ABC , find the smallest possible value of AE . 3

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