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BC = BD + DA if AB=AC, <A = 100^o, BD angle bisector

Source: Indonesia INAMO Shortlist 2008 G10

August 25, 2021
geometryequal segmentsisosceles

Problem Statement

Given a triangle ABCABC with AB=ACAB = AC, angle ∠A=100o\angle A = 100^o and BDBD bisector of angle ∠B\angle B. Prove that BC=BD+DA.BC = BD + DA.
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