Median triangle
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: | △ B G F | = 3 4 | △ A B C | {\displaystyle |\triangle BGF|={\frac {3}{4}}|\triangle ABC|} 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: | B H | | B C | = | H K | | A B | = | B K | | A C | = 3 4 {\displaystyle {\frac {|BH|}{|BC|}}={\frac {|HK|}{|AB|}}={\frac {|BK|}{|AC|}}={\frac {3}{4}}} == See also == Automedian triangle == References == == External links == Weisstein, Eric W. "Median Triangle".