Median (geometry)

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In triangle geometry, a median of a triangle is a line joining one vertex to the midpoint of the opposite side. It is an example of a Cevian line.

Properties

  • The medians of a triangle are concurrent, and their common point is the centroid or barycentre of the triangle: this common point divides each median in the ratio 2:1.
  • The three medians divide the triangle into six regions of equal area.