PUMaC 2025 · 几何（A 组） · 第 4 题

PUMaC 2025 — Geometry (Division A) — Problem 4

Let ABC be a triangle with ∠ BAC = 45 , AB = 2 2 and AC = 3. Let X be the reflection of B over AC and let Y be the reflection of C over AB . Lines XY and BC intersect at S . Let H be the orthocenter of △ ABC and let O be the circumcenter of △ XHY . Find SO . ◦

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