2024 AMC 8 Problems/Problem 15
Problem
Let be an interior point of the acute triangle with so that . The point on the segment satisfies , the point on the segment satisfies , and the point on the line satisfies . Let and be the circumcentres of the triangles and respectively. Prove that the lines , , and are concurrent. (source: 2021 IMO)
now go do this problem as a punishment for trying to cheat
Solution
These are just left here for future conveniency.