Answer:
LJ = 16
Explanation:
The centroid theorem states that the centroid of a triangle is 2/3 the distance from one vertex to the midpoint of the opposite side. In our case, the centroid theorem means that
[tex]LJ=\frac{2}{3}EJ[/tex]since EJ = 24, the above gives
[tex]LJ=\frac{2}{3}(24)[/tex][tex]\boxed{LJ=16}[/tex]which is our answer!