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Cyclic Hexagon

Six points \(A, B, C, D, E, F\) all lie on the circumference of a circle \(\Gamma\) in a clockwise direction, such that \(AB=BC\), \(CD=DE\) and \(EF=FA\). Lines \(FC\), \(AD\) and \(BE\) intersect at point \(O\) inside the circle. Prove that triangles \(FAO\), \(ABO\), \(BCO\), \(CDO\), \(DEO\) and \(EFO\) are isosceles triangles.

Note by Julian Poon
12 months ago

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Ahmad Saad · 3 months, 1 week ago

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