PUMaC 2024 · 几何（A 组） · 第 5 题

PUMaC 2024 — Geometry (Division A) — Problem 5

Let △ ABC be a triangle such that the angle bisector of ∠ BAC , the median from B to side AC , and the perpendicular bisector of AB intersect at a single point X . If AX = 5 and 2 AC = 12, compute BC . 2 m Note: The problem should conclude: BC can be expressed in the form , where m and n n are relatively prime positive integers. Compute m + n .

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