MathDB
classic geometry

Source: Shortlist BMO 2019, G4

November 7, 2020
geometryorthocenterProjective

Problem Statement

Given an acute triangle ABCABC, let MM be the midpoint of BCBC and HH the orthocentre. Let Γ\Gamma be the circle with diameter HMHM, and let X,YX,Y be distinct points on Γ\Gamma such that AX,AYAX,AY are tangent to Γ\Gamma. Prove that BXYCBXYC is cyclic.
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