[幾何小問題]：重心六邊形
有一三角形取其三邊中點與頂點連線，作出重心，並分割成六個小三角形；再對六個三角形做出重心，將這些重心連起來，做出一六邊形，則六邊形面積與原三角形的面積比為何？
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A Hexagon of Centroids:
A Hexagon of Centroids:
Line segments drawn from the vertics of a triangle to the midpoints
of the opposite sides intersect at the centroid of the triangle and cut
the triangle into six smaller triangles.
of the opposite sides intersect at the centroid of the triangle and cut
the triangle into six smaller triangles.
Find the ratio of the area of the hexagon to the area of the original triangle.
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