Question

What is the length of Line segment G D? GD =.

Answer 1

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: brainly.com/question/8242716