2002 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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