OPM 2002 Problem 2
- Final day 1
Consider five spheres with radius cm . Four of these spheres are arranged on a horizontal table so that its centers form a cm square and the fifth sphere is placed on them so that it touches the other four. What is the distance between center of this fifth sphere and the table?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 2002 official paper, page 1.
Solutions
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