we know that
The point G is where all [tex] 3 [/tex] medians intersect and is often described as the triangle's center of gravity or centroid. It is formed by the intersection of the medians. The centroid divides each median in a ratio of [tex] 2:1 [/tex]
so
[tex] \frac{BG}{GE} =\frac{2}{1} \\\\ GE =\frac{BG}{2} [/tex]
[tex] BG= 24\ mm [/tex]
substitute in the formula above
[tex] GE =\frac{24}{2} [/tex]
[tex] GE= 12\ mm [/tex]
therefore
the answer is
[tex] GE= 12\ mm [/tex]
