help please i got it wrong last time and dont understand why

In the figure below, the length of segment GE is 97radical 3 units and the length of segment BG is 149 units. What is the length of segment AC? Right triangles ABC and AGE share line segment BAG. Angle BAC measures 45 degrees. Angle GAE measures 60 degrees. EG measures 97 square root 3. BG measures 149. 52radical 3 97 52radical 2 194