Difference between revisions of "1996 IMO Problems/Problem 5"
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{{alternate solutions}} | {{alternate solutions}} |
Revision as of 12:34, 13 November 2023
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
Let
Let
From the parallel lines on the hexagon we get:
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.