MathDB
3 spheres touch plane of a triangle at it's vertices, tangent in pairs

Source: 1992 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p3

November 20, 2022
geometry3D geometrysphere

Problem Statement

Given is a triangle ABCABC with side lengths a,b,ca, b,c. Three spheres touch each other in pairs and also touch the plane of the triangle at points A,BA,B and CC, respectively. Determine the radii of these spheres.
Back to ProblemsView on AoPS