Question

G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.

Answer 1

`BG = 38`

Explanation:

Based on centroid theorem of triangles:

`BG = (2)/(3) * BF`

`BF = 57`

Plug in the value into the equation

`BG = (2)/(3) * 57`

`BG = (2 * 57)/(3)`

`BG = (114)/(3)`

`BG = 38`