1998 IMO Problems/Problem 1
Problem
In the convex quadrilateral , the diagonals
and
are perpendicular and the opposite sides
and
are not parallel. Suppose that the point
, where the perpendicular bisectors of
and
meet, is inside
. Prove that
is a cyclic quadrilateral if and only if the triangles
and
have equal areas.
Solution
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See Also
1998 IMO (Problems) • Resources | ||
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