IMO 2003 Problem 3
- Day 1
Each pair of opposite sides of a convex hexagon has the following property: the distance between their midpoints is equal to times the sum of their lengths. Prove that all the angles of the hexagon are equal.
Dataset text AI-MO AoPS. Quoted with source.
Official text: IMO 2003 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.