返回题库

HMMT 十一月 2014 · 冲刺赛 · 第 7 题

HMMT November 2014 — Guts Round — Problem 7

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 7 ] Let ABCD be a quadrilateral inscribed in a circle with diameter AD . If AB = 5, AC = 6, and BD = 7, find CD . 41
解析
  1. [ 7 ] Let ABCD be a quadrilateral inscribed in a circle with diameter AD . If AB = 5, AC = 6, and BD = 7, find CD . √ √ √ 2 2 2 2 2 2 2 2 Answer: 38 We have AD = AB + BD = AC + CD , so CD = AB + BD − AC = 38. 41