Problem

Source: 2009 Sharygin Geometry Olympiad Final Round problem 4 grade 8

Tags: geometry, angle bisector, median



Given is $\triangle ABC$ such that $\angle A = 57^o, \angle B = 61^o$ and $\angle C = 62^o$. Which segment is longer: the angle bisector through $A$ or the median through $B$? (N.Beluhov)