In ΔABC, AD is the median and G is a point on AD such that AG : GD = 2 : 1, If area of ΔABC is 36 cm2, find the area of ΔBDG?

6 18 9 12

6

Three median of a triangle divide the Δ in 6 equal triangles. area of ΔBDG : area of ΔABC                1    :     6                ↓           ↓              ×6         ×6                ↓           ↓                6          36