Difference between revisions of "1998 IMO Problems/Problem 1"
(→Problem) |
(→See Also) |
||
Line 8: | Line 8: | ||
==See Also== | ==See Also== | ||
− | {{IMO box|year=1998|before=First Question| | + | {{IMO box|year=1998|before=First Question|num-a=2}} |
Revision as of 23:53, 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 |