Home > Geometry, IMO, Olympiad > Balkan Mathematical Olympiad 2011 Problem 1

Balkan Mathematical Olympiad 2011 Problem 1


Let ABCD be a cyclic quadrilateral which is not a trapezoid and whose diagonals meet at E. The midpoints of AB and CD are F and G respectively, and \ell is the line through G parallel to AB. The feet of the perpendiculars from E onto the lines \ell and CD are H and K, respectively. Prove that the lines EF and HK are perpendicular.

BMO 2011 Problem 1

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Categories: Geometry, IMO, Olympiad Tags: , ,
  1. October 25, 2012 at 10:59 pm

    Reblogged this on MatheMazier and commented:
    A Post From A Blogger I Respect 😀

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