Difference between revisions of "1987 OIM Problems/Problem 2"
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Revision as of 12:47, 13 December 2023
Problem
On a triangle 
, 
and 
are the respective midpoints of sides 
and 
, and 
is the midpoint of the intersection of 
and 
. Prove that, if is possible to inscribe a circumference in the quadrilateral 
, then triangle is isosceles.
Solution
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