Source: wikibot/apollonius-s-theorem
= Apollonius's theorem
{wiki=Apollonius's_theorem}
Apollonius's theorem is a result in geometry that relates the lengths of the sides of a triangle to the length of a median. Specifically, the theorem states that in any triangle, the square of the length of a median is equal to the average of the squares of the lengths of the two sides that the median divides, minus one-fourth the square of the length of the third side.