Difference between revisions of "2003 IMO Problems/Problem 4"
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Revision as of 00:44, 19 November 2023
Problem
Let be a cyclic quadrilateral. Let
,
, and
be the feet of perpendiculars from
to lines
,
, and
, respectively. Show that
if and only if the bisectors of angles
and
meet on segment
.
Solution
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See Also
2003 IMO (Problems) • Resources | ||
Preceded by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 5 |
All IMO Problems and Solutions |