Elaborate centroid of triangle?
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Each median divides the triangle into two smaller triangles of equal area. The centroid is exactly two-thirds the way along each median. Put another way, the centroid divides each median into two segments whose lengths are in the ratio 2:1, with the longest one nearest the vertex.
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The centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side). For other properties of a triangle's centroid, see below.
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