Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/4`. If side C has a length of `25` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`a=25/2*(sqrt(3)-1)`

Explanation:

By the Theorem of sines we get

`sin(pi/4)/sin(pi/12)=25/a`
solving for `a` we get
`a=25*sin(pi/12)/sin(pi/12)`
so

`a=25/2*(sqrt(3)-1)`