Answer:
GD = 10.5
Step-by-step explanation:
A line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{EG}{GD}[/tex] = [tex]\frac{FH}{HD}[/tex] , substitute values
[tex]\frac{6}{GD}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )
8GD = 84 ( divide both sides by 8 )
GD = 10.5