Answer:
BF = 18
Step-by-step explanation:
In triangle BCD, H is the Centroid.
Centroid of a triangle divides the median in the ratio 2 : 1.
Therefore, BH : HF = 2 : 1
Let BH = 2x & HF = x
Since, HF = 6.... (given)
So, x = 6
2x = 2*6 = 12
BH = 12
Now,
BF = BH + HF = 12 + 6
BF = 18
