The center of gravity of a solid triangle is the point where its medians intersect (its centroid).

Consider a hollow triangle, \(A,\) whose sides are made of uniformly dense, thin strings. Let \(B\) be the triangle formed by connecting the midpoints of \(A.\)

Where is the **center of gravity** of \(A?\)

For reference, here are the other three common triangle centers: circumcenter, incenter, and orthocenter.

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