Question

A triangle has sides A, B, and C. The angle between sides A and B is `(3pi)/4`. If side C has a length of `18` and the angle between sides B and C is `pi/12`, what are the lengths of sides A and B?

Answer 1

`a~~6.59, b~~12.73`

Explanation:

`a/sin(pi/12) =18/sin ((3pi)/4)`
`a=18/sin ((3pi)/4)*sin(pi/12)~~6.59`
`angleB = pi-[((3pi)/4)+pi/12]=pi/6`
`b/sin(pi/6) =18/sin ((3pi)/4) ->b=18/sin ((3pi)/4) sin(pi/6) ~~12.73`