PUMaC 2021 · 几何(B 组) · 第 6 题
PUMaC 2021 — Geometry (Division B) — Problem 6
题目详情
- Let BCDE be a trapezoid with BE ∥ CD, BE = 20 , BC = 2 34 , CD = 8 , DE = 2 10 . Draw a line through E parallel to BD and a line through B perpendicular to BE, and let A be the intersection of these two lines. Let M be the intersection of diagonals BD and CE, and a let X be the intersection of AM and BE. If BX can be written as , where a, b are relatively b prime positive integers, find a + b.
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Original Explanation
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