PUMaC 2025 · 几何（A 组） · 第 7 题

PUMaC 2025 — Geometry (Division A) — Problem 7

Let ABC be a triangle with AC = 33, BC = 16, AB = 28 and incenter I . Let U and V be points on sides AB and AC respectively such that AU = AV = 20. Let P be the reflection of B over U and let Q be the reflection of C over V . The circumcircles of triangles BIP and CIQ intersect at a point S ̸ = I . Let M be the midpoint of BC . Find M S .

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