In triangle ABC, point D divides side AC so that AD : DC = 1 : 2. Let E be the midpoint of BD and let F be the point of intersection of line BC and line AE. Given that the area of ΔABC is 360 cm2, what is the area of ΔEBF?
[ΔABC] = 360 cm2
AD : DC = 1 : 2
BF : FC = 1 : 3
[ΔABF] = 1/4(360)
[ΔEBF] = 1/12(360) = 30 cm2
