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Regional Olympiad - FBH 2016 Grade 9 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2016

September 22, 2018
geometryangle bisector

Problem Statement

Let ABCABC be an isosceles triangle such that ∠BAC=100∘\angle BAC = 100^{\circ}. Let DD be an intersection point of angle bisector of ∠ABC\angle ABC and side ACAC, prove that AD+DB=BCAD+DB=BC
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