Difference between revisions of "1998 IMO Problems/Problem 1"
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Revision as of 22:53, 18 November 2023
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
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1998 IMO (Problems) • Resources | ||
| Preceded by First Question |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 2 |
| All IMO Problems and Solutions | ||
