Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/6`. If side C has a length of `17` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`17sqrt(2)`

Explanation:

The third angle is given by `3/4*pi`
so we get

`sin(pi/6)/sin(3/4*pi)=17/a`
solving for `a` we get

`a=17sqrt(2)`