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Geometry Irish MO

Source: Irish Mathematical Olympiad 2014 Paper 2 Question 2

April 20, 2017
geometry

Problem Statement

The square ABCDABCD is inscribed in a circle with center OO. Let EE be the midpoint of ADAD. The line CECE meets the circle again at FF. The lines FBFB and ADAD meet at HH. Prove HD=2AHHD = 2AH
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