MathDB

11.8

Part of VII Soros Olympiad 2000 - 01

Problems(1)

min and max radius of smallest sphere of 3, tangent to plane, line, each other

Source: VII Soros Olympiad 2000-01 Round 1 , 11.6

7/4/2021
Three spheres are tangent to one plane, to a straight line perpendicular to this plane, and in pairs to each other. The radius of the largest sphere is 11. Within what limits can the radius of the smallest sphere vary?
geometry3D geometryspheregeometric inequality