Answer: The length of BD is 9
Step-by-step explanation: The length of the segment from the vertex to the centroid is twice the length of the segment from the centroid to the midpoint on the side opposite the vertex
In other words, the length of BE is 2/3 the length of BD. let x be the length
6 = 2/3 x
3/2(6) = x
9 = x
