Question

In EFG, L is the centroid. If EJ=24 find LJ. F H J E

Answer 1

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

$LJ=\frac{2}{3}EJ$

since EJ = 24, the above gives

$LJ=\frac{2}{3}(24)$$\boxed{LJ=16}$

which is our answer!