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Two spheres with the same center have radiuses \(r\) and \(R\), where \(r<R\). From the surface of the bigger sphere we'll try to select three points \(A, B\) and \(C\) such that all sides of the triangle \(A B C\) coincide with the surface of the smaller sphere. Prove that this selection is possible if and only if \(R \leq 2 r\).
in Mathematics by Platinum (143,306 points) | 45 views

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