Median triangle

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

{\displaystyle {\tfrac {3}{4}}}

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

median triangle:
reference triangle:
median triangle of the median triangle:
areas:
similarity:
ratios: