Question

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

Answer 1

LJ = 16

Step-by-step 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=(2)/(3)EJ`

since EJ = 24, the above gives

`LJ=(2)/(3)(24)`
`\boxed{LJ=16}`

which is our answer!