In geometry, the median triangle of a given (reference) triangle is a triangle, the sides of which are equal and parallel to the medians of its reference triangle. The area of the median triangle is 3/4 of the area of its reference triangle:

The median triangle of the median triangle is similar to the reference triangle of the first median triangle with a scaling factor of 3/4:Roger A. Johnson: Advanced Euclidean Geometry. Dover 2007, , pp. 282–283Claudi Alsina, Roger B. Nelsen: Charming Proofs: A Journey Into Elegant Mathematics. MAA, 2010, , p. 165Árpad Bényi, Branko Ćurgus: "Outer Median Triangles". In: Mathematics Magazine, Vol. 87, No. 3 (June 2014), pp. 185–194 (JSTOR)

See also Automedian triangle

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