1989 USAMO Problems/Problem 4
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Problem
Let 
be an acute-angled triangle whose side lengths satisfy the inequalities 
. If point 
is the center of the inscribed circle of triangle and point 
is the center of the circumscribed circle, prove that line 
intersects segments 
and 
.
Solution
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See Also
| 1989 USAMO (Problems) | ||
| Preceded by Problem 3 | 1 • 2 • 3 • 4 • 5 | Followed by Problem 5 |
| All USAMO Problems and Solutions | ||
