Difference between revisions of "Median of a triangle"

(just testing out the wiki; made definition more precise; medians for polygons are not really well-defined)
(Add concurreny information, see also)
Line 1: Line 1:
A median of a triangle means either the segment joining one vertex to the midpoint of the opposite side of the triangle, or the straight line that contains this segment. It is a particular case of a [[cevian]] of the triangle.
+
A median of a [[triangle]] means either the segment joining one vertex to the midpoint of the opposite side of the triangle, or the straight line that contains this segment. It is a particular case of a [[cevian]] of the triangle.
 +
The medians are [[concurrent]] at the [[centroid]]. The [[centroid]] divides the medians in a 2:1 ratio.
 +
== See Also ==
 +
*[[Cevian]]
 +
*[[Angle Bisector]]
 +
*[[Perpendicular Bisector]]
 +
*[[Altitude]]

Revision as of 08:28, 24 June 2006

A median of a triangle means either the segment joining one vertex to the midpoint of the opposite side of the triangle, or the straight line that contains this segment. It is a particular case of a cevian of the triangle. The medians are concurrent at the centroid. The centroid divides the medians in a 2:1 ratio.

See Also

Invalid username
Login to AoPS