Median (geometry): Difference between revisions
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imported>Richard Pinch (added properties) |
imported>Richard Pinch (mention Cevian line) |
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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 16:00, 24 November 2008
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.