PUMaC 2021 · 几何(B 组) · 第 7 题
PUMaC 2021 — Geometry (Division B) — Problem 7
题目详情
- A pentagon has vertices labelled A, B, C, D, E in that order counterclockwise, such that AB, ED are parallel and ∠ EAB = ∠ ABD = ∠ ACD = ∠ CDA. Furthermore, suppose that √ a b AB = 8 , AC = 12 , AE = 10 . If the area of triangle CDE can be expressed as , where a, b, c c are integers so that b is square free, and a, c are relatively prime, find a + b + c.
解析
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Original Explanation
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