Triangle/Median/Definition

For a nondegenerate triangle ${\displaystyle {}A,B,C}$ in a Euclidean plane, the line

${\displaystyle {\frac {B+C}{2}}+s{\left(A-{\frac {B+C}{2}}\right)},\,s\in \mathbb {R} ,}$

is called the median through ${\displaystyle {}A}$.