PUMaC 2025 · 几何（A 组） · 第 3 题

PUMaC 2025 — Geometry (Division A) — Problem 3

Let ABCD be an isosceles trapezoid with AB ∥ CD , AB = 20, and CD = 22. Let M and N be the midpoints of sides AD and BC , respectively. Ray N M meets the circumcircle of ABCD at K . If the lengths of KM and AM are positive integers, find the sum of all possible values of KM . √ ◦

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