1996 IMO Problems/Problem 2


Let $P$ be a point inside triangle $ABC$ such that

\[\angle APB-\angle ACB = \angle APC-\angle ACB\]

Let $D$, $E$m be the incenters of triangles $APB$, $APC$, respectively. Show that $AP$, $BD$, $CE$ meet at a point.


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See Also

1996 IMO (Problems) • Resources
Preceded by
Problem 1
1 2 3 4 5 6 Followed by
Problem 3
All IMO Problems and Solutions