Answer:
B. 12
Step-by-step explanation:
Based on the centroid theorem,
[tex] BP = \frac{2}{3}(BF) [/tex].
BP = 8
Plug in the value of BP into the equation and find the value of BF.
[tex] 8 = \frac{2}{3}(BF) [/tex]
[tex] 8 = \frac{2*BF}{3} [/tex]
Cross multiply
[tex] 8*3 = 2*BF [/tex]
[tex] 24 = 2*BF [/tex]
Divide both sides by 2
[tex] \frac{24}{2} = BF [/tex]
[tex] BF = 12 [/tex]
