3 spheres touch plane and line - VI Soros Olympiad 1999-00 Round 1 11.4
Source:
May 21, 2024
geometry3D geometrysphere
Problem Statement
Let the line be perpendicular to the plane . Three spheres touch each other in pairs so that each sphere touches the plane and the line . The radius of the larger sphere is . Find the minimum radius of the smallest sphere.