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Regional Olympiad - FBH 2017 Grade 9 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2017

September 19, 2018
geometryangle bisectorisosceles

Problem Statement

It is given isosceles triangle ABCABC (AB=ACAB=AC) such that ∠BAC=108∘\angle BAC=108^{\circ}. Angle bisector of angle ∠ABC\angle ABC intersects side ACAC in point DD, and point EE is on side BCBC such that BE=AEBE=AE. If AE=mAE=m, find EDED
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