Answer:
GB is 15 units
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The Centroid is a point of triangle where all 3 medians intersect
In this problem point G is the centroid of the triangle FDE
FA, EB and DC are medians of the triangle FDE.
Remember that centroid divides the median in 2:1
FA is a is median so FG:GA=2:1.
Find the value of x
[tex]\frac{FG}{GA}=\frac{2}{1}\\\\\frac{5x}{x+9}=\frac{2}{1}\\\\5x=2x+18\\\\5x-2x=18\\\\3x=18\\\\x=6[/tex]
Find the value of GB
GB=2x+3
substitute the value of x
[tex]GB=2(6)+3=15\ units[/tex]
