2003 OIM Problems/Problem 5
Problem
In the square , let
and
be points belonging to the sides
and
respectively, different from the ends, such that
. Points
and
are considered, belonging to the segments
and
respectively. Show that, whatever
and
, there exists a triangle whose sides have the lengths of the segments
,
, and
.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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