MathDB

Cono Sur Olympiad 2013, Problem 2

Source:

August 22, 2014

geometryincentercircumcircletrigonometryperpendicular bisectorangle bisectorgeometry proposed

Problem Statement

In a triangle

ABC

, let

M

be the midpoint of

BC

and

I

the incenter of

ABC

. If

IM

IA

, find the least possible measure of

\angle{AIM}