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Three Spheres (Posted on 2005-09-14) Difficulty: 3 of 5
Three spheres of radii a, b, and c are tangent to the same plane at points A, B, and C respectively. Each sphere is externally tangent to the other two.
If a < b < c, then which internal angle of triangle ABC is largest and what is its value in terms of a, b, and c?

See The Solution Submitted by Bractals    
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  Subject Author Date
QuestionCurious 180 degree observationLarry2005-09-17 14:32:32
Solutionre: solution -- Table of valuesCharlie2005-09-15 13:59:23
re: No calculus answer, for the first partSteve Herman2005-09-15 03:11:32
Some ThoughtsNo calculus answer, for the first partFederico Kereki2005-09-15 02:39:15
SolutionsolutionCharlie2005-09-14 18:55:04
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