## Balkan Mathematical Olympiad 2011 Problem 1

Let be a cyclic quadrilateral which is not a trapezoid and whose diagonals meet at . The midpoints of and are and respectively, and is the line through parallel to . The feet of the perpendiculars from onto the lines and are and , respectively. Prove that the lines and are perpendicular.

BMO 2011 Problem 1

Advertisements

Reblogged this on MatheMazier and commented:

A Post From A Blogger I Respect 😀