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Encyclopedia > Median (geometry)
The triangle medians and the centroid.

In a triangle, a median is a line joining a vertex to the midpoint of the opposite side. It divides the triangle into two parts of equal area. The three medians intersect in the triangle's centroid or center of mass, and two-thirds of the length of each median is between the vertex and the centroid, while one-third is between the centroid and the midpoint of the opposite side. Image File history File links Triangle. ... Image File history File links Triangle. ... A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. ... In geometry, a vertex (Latin: whirl, whirlpool; plural vertices) is a corner of a polygon (where two sides meet) or of a polyhedron (where three or more faces and an equal number of edges meet). ... In mathematics, a line segment is a part of a line that is bounded by two end points. ... -1... Centroid of a triangle In geometry, the centroid or barycenter of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane. ... It has been suggested that this article or section be merged with Center of gravity. ...

Any other lines which divide the area of the triangle into two equal parts do not pass through the centroid.

Results from FactBites:

 PlanetMath: median (97 words) The median of a triangle is a line joining a vertex with the midpoint of the opposite side. If the length of the three sides of the triangle are known, the length of the medians can be found by means of Apollonius theorem. This is version 9 of median, born on 2001-10-06, modified 2006-11-03.
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