The length of the line segment GD is 10.5
To get the length of the line segment GD, we will use similarity theorems of triangles to have:
ED/FD = GD/DH
Substitute the given sides to have:
6+GD/(8+14) = GD/14
6+GD/22 = GD/14
Cross multiply
22GD = 14(6+GD)
22GD = 84 + 14GD
22GD - 14GD = 84
8GD = 84
GD = 84/8
GD = 10.5
Hence the length of the line segment GD is 10.5
Learn more on similarity theorems of triangle here: https://brainly.com/question/8242716
