File:Triangle.Centroid.Median.png · Wikimedia Commons · See Wikimedia Commons
Wikidata facts
- Subclass of
- cevian
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- Commons category
- Median (geometry)
- described by source
- Armenian Soviet Encyclopedia
- facet of
- triangle
- different from
- geometric median
- maintained by WikiProject
- WikiProject Mathematics
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Encyclopedic overview
The triangle medians and the centroid O
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect at the triangle's centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a median extends to tetrahedra.
Excerpted from Wikipedia’s “median” article, available under the CC BY-SA 4.0 licence.