MathDB
Smallest Value Of An Angle

Source: Mathematical Danube Competition 2016, Juniors P3

April 21, 2022
geometryromania

Problem Statement

Let ABCABC be a triangle with AB<AC,AB < AC, II its incenter, and MM the midpoint of the side BCBC. If IA=IM,IA=IM, determine the smallest possible value of the angle AIMAIM.
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