Answer:
SSA, the law of sines
Step-by-step explanation:
Given that triangle ABC has standard labeling, then A, B and C are angles, and a is the opposite side to A, b is the opposite side to B and c is the opposite side to C (see figure attached).
If a, c, and A are given, then we know a side, another side and an angle, that is, SSA.
Law of sines states:
sin(A)/a = sin(C)/c
where the only unknown is C. So, the law of sines should be used to begin solving the triangle