# Into the Pyramid

Geometry Level 3

The diagram above shows a triangular pyramid with equal edges and faces, and $$A, B, C, D$$ are its vertices.

Let $$E$$ be the midpoint of $$AB$$, $$O$$ be the center of the equilateral triangle base, and $$P$$ be the center of the 3-D pyramid.

What are the ratios of $$CO : OE$$ and $$DP : PO$$ respectively?

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