three angles known of triangle and 1 length known how do I find the other lengths of the triangle

Let's say we know angle A, B, C and we also know side a

First, try doing tanA= a/b

Find side b

Then do sinB=b/c

Find side c.
 

All info is now known.

Rarinstraw's answer is correct if the triangle is a right triangle with C as the 90º angle, but if the triangle is not a right triangle, you can use the Law of Sines to find other two lengths.

The Law of Sines says:

\(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\)

where  A ,  B ,  and  C  are angles, and  a ,  b , and  c , are sides across from their respective angles.

This might help: https://www.mathsisfun.com/algebra/trig-sine-law.html