MathDB
angle bisector, 135-30-15 triangle (2016 Romanian NMO grade VII P2)

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June 1, 2020
geometryangle bisectorequal segmentsangles

Problem Statement

Consider the triangle ABCABC, where B=30o,C=15o\angle B= 30^o, \angle C = 15^o, and MM is the midpoint of the side [BC][BC]. Let point N(BC)N \in (BC) be such that [NC]=[AB][NC] = [AB]. Show that [AN[AN is the angle bisector of MACMAC