2022 PUMaC Geometry B2
Source:
September 10, 2023
geometry3D geometry
Problem Statement
Three spheres are all externally tangent to a plane and to each other. Suppose that the radii of these spheres are , , and, . The tangency points of these spheres with the plane form the vertices of a triangle. Determine the largest integer that is smaller than the perimeter of this triangle.