IMO 1959 Problem 4
- Day 2
Construct a right triangle with given hypotenuse such that the median drawn to the hypotenuse is the geometric mean of the two legs of the triangle.
Official text Transcription from AI-MO AoPS, checked word for word against the official paper. Quoted with source.
Official text: IMO 1959 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.