Median (geometry): Difference between revisions

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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.
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==
==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 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.
* The three medians divide the triangle into six regions of equal area.

Revision as of 17:00, 24 November 2008

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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.