IMO Shortlist 1966 problem 37
Dodao/la:
arhiva2. travnja 2012. Show that the four perpendiculars dropped from the midpoints of the sides of a cyclic quadrilateral to the respective opposite sides are concurrent.
Note by Darij: A cyclic quadrilateral is a quadrilateral inscribed in a circle.
%V0
Show that the four perpendiculars dropped from the midpoints of the sides of a cyclic quadrilateral to the respective opposite sides are concurrent.
Note by Darij: A cyclic quadrilateral is a quadrilateral inscribed in a circle.
Izvor: Međunarodna matematička olimpijada, shortlist 1966
Školjka 
