IMO 1981 Problem 5
- Day 2
Three circles of equal radius have a common point and lie inside a given triangle. Each circle touches a pair of sides of the triangle. Prove that the incenter and the circumcenter of the triangle are collinear with the point .
Dataset text AI-MO AoPS. Quoted with source.
Official text: IMO 1981 official English paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.