Difference between revisions of "Median of a triangle"

Revision as of 13:01, 14 August 2006

A median of a triangle is a cevian of the triangle that joins one vertex to the midpoint of the opposite side.

In the following figure, $AM$ is a median of triangle $ABC$ .

Each triangle has 3 medians. The medians are concurrent at the centroid. The centroid divides the medians (segments) in a 2:1 ratio.

@@ Line 1: / Line 1: @@
-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 joins one [[vertex]] to the [[midpoint]] of the opposite side.
 In the following figure, <math>AM</math> is a median of triangle <math>ABC</math>.
 <center>[[Image:median.PNG]]</center>
-The medians are [[concurrent]] at the [[centroid]]. The [[centroid]] divides the medians (segments) in a 2:1 ratio.
+Each triangle has 3 medians.  The medians are [[concurrent]] at the [[centroid]]. The [[centroid]] divides the medians (segments) in a 2:1 ratio.
 == See Also ==