Difference between revisions of "Median of a triangle"
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A '''median''' of a [[triangle]] is a [[cevian]] of the triangle that goes from either the segment joining one [[vertex]] to the [[midpoint]] of the opposite side of the triangle, or the straight [[line]] that contains this segment. | A '''median''' of a [[triangle]] is a [[cevian]] of the triangle that goes from either the segment joining one [[vertex]] to the [[midpoint]] of the opposite side of the triangle, or the straight [[line]] that contains this segment. | ||
| + | In the following figure, <math>AM</math> is a median of triangle <math>ABC</math>. | ||
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| + | <center>[[Image:median.PNG]]</center> | ||
The medians are [[concurrent]] at the [[centroid]]. The [[centroid]] divides the medians (segments) in a 2:1 ratio. | The medians are [[concurrent]] at the [[centroid]]. The [[centroid]] divides the medians (segments) in a 2:1 ratio. | ||
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== See Also == | == See Also == | ||
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* [[Mass points]] | * [[Mass points]] | ||
* [[Perpendicular bisector]] | * [[Perpendicular bisector]] | ||
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| + | [[Category:Definition]] | ||
Revision as of 10:31, 30 July 2006
A median of a triangle is a cevian of the triangle that goes from either the segment joining one vertex to the midpoint of the opposite side of the triangle, or the straight line that contains this segment.
In the following figure, 
is a median of triangle 
.
The medians are concurrent at the centroid. The centroid divides the medians (segments) in a 2:1 ratio.
