MathDB
RMO 2015

Source:

December 10, 2015
RMO 2015geometryincentercircumcircleratio

Problem Statement

Let ABC be a right triangle with ∠B=90∘\angle B = 90^{\circ}.Let E and F be respectively the midpoints of AB and AC.Suppose the incentre I of ABC lies on the circumcircle of triangle AEF,find the ratio BC/AB.
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