RU-ALLRUSSIAN 1963 Problem 14
- Answer
Given an isosceles triangle, find the locus of the point P inside the triangle such that the distance from P to the base equals the geometric mean of the distances to the sides.
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
PL^2 = PM \cdot PN
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.