C. 12.3
Step-by-step explanation:
We should use Law of Cosines: cĀ² = aĀ² + bĀ² -2abcosC
If that is the case, then EF is a, DF is b, and ā F is c. We then plug the known variables in:
cĀ² = 12Ā² + 13Ā² - 2(12)(13)cos59Ā°
Plug that into the calc and you should get 12.2313, rounded to 12.3 as your final answer!