Difference between revisions of "1987 OIM Problems/Problem 2"
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Revision as of 13:26, 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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