Answer:
[tex] BG = 38 [/tex]
Step-by-step explanation:
Based on centroid theorem of triangles:
[tex] BG = \frac{2}{3} \times BF [/tex]
[tex] BF = 57 [/tex]
Plug in the value into the equation
[tex] BG = \frac{2}{3} \times 57 [/tex]
[tex] BG = \frac{2 \times 57}{3} [/tex]
[tex] BG = \frac{114}{3} [/tex]
[tex] BG = 38 [/tex]
