1990 USAMO Problems/Problem 5
Problem
An acute-angled triangle is given in the plane. The circle with diameter
intersects altitude
and its extension at points
and
, and the circle with diameter
intersects altitude
and its extensions at
and
. Prove that the points
lie on a common circle.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.