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PUMaC 2017 · 几何（B 组） · 第 3 题

PUMaC 2017 — Geometry (Division B) — Problem 3

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. Triangle ABC has AB = BC = 10 and CA = 16. The circle Ω is drawn with diameter BC . Ω meets AC at points C and D . Find the area of triangle ABD . √
解析
  1. ∠ BDC = 90 because it is inscribed and subtends a diameter. So, BD is an altitude. Thus 1 [ ABD ] = [ ABC ] = 24 . 2 Problem written by Zack Stier √ 51 55