The median triangle of a given (reference) triangle is a

triangle A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, any three points, when non- colline ...

, the sides of which are equal and parallel to the medians of its reference triangle. The area of the median triangle is

\tfrac

of the area of its reference triangle, and the median triangle of the median triangle is similar to the reference triangle of the first median triangle with a scaling factor of

\tfrac

References

*Roger A. Johnson: ''Advanced Euclidean Geometry''. Dover 2007, , pp. 282–283 *Claudi Alsina, Roger B. Nelsen: ''Charming Proofs: A Journey Into Elegant Mathematics''. MAA, 2010, , p. 165 *Árpad Bényi, Branko Ćurgus: "Outer Median Triangles". In: ''Mathematics Magazine'', Vol. 87, No. 3 (June 2014), pp. 185–194
JSTOR

External links

* {{DEFAULTSORT:Median Triangle Objects defined for a triangle