2020 CAMO Problems/Problem 3
Let be a triangle with incircle , and let touch , , at , , , respectively. Point is the midpoint of , and is the point on such that is a diameter. Line meets the line through parallel to at and again at . Lines and intersect line at and respectively. Prove that the circumcircles of and are tangent.
This problem needs a solution. If you have a solution for it, please help us out by adding it.
|2020 CAMO (Problems • Resources)|
|1 • 2 • 3 • 4 • 5 • 6|
|All CAMO Problems and Solutions|
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.