Question

g is the centroid of triangle abc. what is the length of $overline{gf}$? units e 40 f 19x + 14 g 9x + 2 a d c

Explanation:

Step1: Recall centroid property

The centroid of a triangle divides each median in a ratio of 2:1. So, $AG = 2GD$ and $BG=2GF$ and $CG = 2GE$. Given $BG = 40$, then $GF=\frac{1}{2}BG$.

Step2: Calculate length of GF

Since $BG = 40$, using the ratio property, $GF=\frac{40}{2}$.

Answer:

20