1991 IMO Problems/Problem 5
Problem
Let be a triangle and
an interior point of
. Show that at least one of the angles
is less than or equal to
.
Solution
Let ,
, and
=
,
,
, respcetively.
Let ,
, and
=
,
,
, respcetively.
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.