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Orthocenter lies on incircle in isosceles ∆

Source: INMO 2016 Problem 1

January 17, 2016
geometrygeometry proposed

Problem Statement

Let ABCABC be a triangle in which AB=ACAB=AC. Suppose the orthocentre of the triangle lies on the incircle. Find the ratio ABBC\frac{AB}{BC}.
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