1996 IMO Problems/Problem 5
Problem
Let be a convex hexagon such that
is parallel to
,
is parallel to
, and
is parallel to
. Let
,
,
denote the circumradii of triangles
,
,
, respectively, and let
denote the perimeter of the hexagon. Prove that
Solution
Let
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.