PUMaC 2024 · 几何（A 组） · 第 4 题

PUMaC 2024 — Geometry (Division A) — Problem 4

Let △ ABC be such that AB = 15 , BC = 13 , CA = 14. Let P be the point on the circumcircle of △ ABC such that P is on the same side of AB as C and AP = BP . Let X be the foot m of the perpendicular from P to AC . Then the length of AX is for some relatively prime n positive integers m and n . Find m + n .

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