Question

In the figure below, the length of line segment GE is 97radical 3 units and the length of line segment BG is 149 units. What is the length of line segment AC?

Answer 1

52radical 3

97

52radical 2

194

Answer 2

You can try using the Law of Sines for triangle AEG, then using Pythagorean Theorem to find the final side, then you can definitely find the dimensions of the other triangle.

Answer 3

can you explain it to me

Answer 4

Hint: First find BA using 149, 60 degrees and 97*3^(1/3)) .

Answer 5

\[\text{AG}=97\sqrt{ 3}\text{ Cot}[60{}^{\circ}]\]