2020 CAMO Problems/Problem 3
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.
Solution
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See also
2020 CAMO (Problems • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All CAMO Problems and Solutions |
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