How do you solve for sides a and b of a triangle when you know the value of c?

Assuming you have some angle measures, you could use the Law of Sines to solve for the missing side lengths, which states that,
,
where a, b, and c correspond to the given sides you have, and A, B, and C represent the angles you have.

In this scenario, you would have to have the values for c (which we do), and have the angle measure of C. In addition, we would also need an angle measure that is either A or B.

Hope this helps a bit!

:)

The answer is option c.