Skip to content / Đến nội dung
ThichHocToan.com

Hanoi Open Mathematics Competition 2006 Junior Question 7

HOMC · Hanoi Open Mathematics Competition 2006 Junior

Question 7

On the circle $(O)$ of radius $15\text{ cm}$ are given 2 points $A,B$. The altitude $OH$ of the triangle $OAB$ intersect $(O)$ at $C$. What is $AC$ if $AB=16\text{ cm}$?

Editorial convention: C is the intersection of the circle with the ray from O through H. The other intersection of the full altitude line is discussed separately in the solution.