Question

In the figure below, the length of line segment CB is 58 units and the length of line segment BG is 120 units. What is the length of line segment GE?

62radical 3

116

58radical 2

124

Answer 1

BA=BC=58
AG=120-BA=120-58=64

Answer 2

The triangle AEG is a 30 60 90 triangle, thm
AE=2 AG = 2(64)= 128
\[
AG = \frac{128 \sqrt 3}2=64 \sqrt 3
\]