1987 IMO Problems/Problem 2
Problem
In an acute-angled triangle 
the interior bisector of the angle 
intersects 
at 
and intersects the circumcircle of again at 
. From point perpendiculars are drawn to 
and 
, the feet of these perpendiculars being 
and 
respectively. Prove that the quadrilateral 
and the triangle have equal areas.
Solution
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| 1987 IMO (Problems) • Resources | ||
| Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
| All IMO Problems and Solutions | ||
