Answer:
a ≈ 11.3, C ≈ 24.2, B ≈ 103.8
Step-by-step explanation:
The information A = 52°, b = 14, c = 6 lends itself to solution using the Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A.
Here, a^2 = 14^2 + 6^2 - 2(14)(6) cos 52 degrees, or
= 196 + 36 - 168 (0.616)
= 120.57
Taking the positive square root of this results in a = 11.3.
This corresponds to the second answer choice: a ≈ 11.3, C ≈ 24.2, B ≈ 103.8
