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The diagram shows a right pyramid with a square base \(ABCD\) of side length \(10\) cm. The vertex \(V\) is vertically above the center of the base, \(M\), and the height of the pyramid \(VM\) is \(12\) cm.
Find:
The exact length of the slant height \(VN\) of the triangular face \(VBC\).
The angle between the face \(VBC\) and the base plane \(ABCD\).
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