PUMaC 2021 · 几何（A 组） · 第 2 题

PUMaC 2021 — Geometry (Division A) — Problem 2

Triangle △ ABC has AB = 8, AC = 10, and AD = 33, where D is the midpoint of BC . Perpendiculars are drawn from D to meet AB and AC at E and F , respectively. The length √ a b of EF can be expressed as , where a, c are relatively prime and b is square-free. Compute c a + b + c .

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