Answer:
If HF = 6 units, then BF = 12 units.
Step-by-step explanation:
In ΔBCD, H is the centroid.
Given
We know that the centroid is the point of intersection of the medians of a triangle.
Centroid divides a median in a 2:1 ratio.
In other words, the location of the centroid lies at 2/3 of the distance from the vertex along the segment BF that connects the vertex to the midpoint of the opposite side.
so
HF = 1/2 BF
substituting HF = 6
6 = 1/2BF
BF = 12 units
Therefore, if HF = 6 units, then BF = 12 units.
