HMMT 二月 2007 · GEN2 赛 · 第 6 题
HMMT February 2007 — GEN2 Round — Problem 6
题目详情
英文原题
- [ 4 ] Circle ω has radius 5 and is centered at O . Point A lies outside ω such that OA = 13. The twotangents to ω passing through A are drawn, and points B and C are chosen on them (one on eachtangent), such that line BC is tangent to ω and ω lies outside triangle ABC . Compute AB + AC giventhat BC = 7.
解析
英文解析
- [ 4 ] Circle ω has radius 5 and is centered at O . Point A lies outside ω such that OA = 13. The twotangents to ω passing through A are drawn, and points B and C are chosen on them (one on eachtangent), such that line BC is tangent to ω and ω lies outside triangle ABC . Compute AB + AC given 1
that BC = 7.
Answer: 17 . Same as Geometry #4.