Point Q is the centroid of △ABC . BF =

Question

Answer 1

the centroid is the intersection of the three medians

a median is a line segment from a vertex to the midpoint of the opposite side

the centroid divides each median in the ratio of 2 to 1 starting at the vertex

therefore, if BQ is 10 then QF is 5

so, BF=BQ+QF

BF=10+5=15 answer

also, QE=9 and QC=14

Answer 2

If Q is the centroid, then BF is a median.