MathDB
2010 Geometry #6

Source:

January 2, 2024
geometry

Problem Statement

Three unit circles ω1\omega_1, ω2\omega_2, and ω3\omega_3 in the plane have the property that each circle passes through the centers of the other two. A square SS surrounds three circles in such a way that each of its four sides is tangent to at least one of ω1\omega_1, ω2\omega_2, and ω3\omega_3. Find the side length of the square SS.
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