PUMaC 2021 · 几何（A 组） · 第 3 题

PUMaC 2021 — Geometry (Division A) — Problem 3

Consider a circle centered at O . Parallel chords AB of length 8 and CD of length 10 are of a distance 2 apart such that AC < AD . We can write tan ∠ BOD = , where a, b are positive b integers such that gcd( a, b ) = 1. Compute a + b . √ √

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