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 `18` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

Length of side `color(brown)(a = 6.5885`

Explanation:

`hatA = pi/12, hatC = pi/4, c = 18`

`a / sin A = c / sin C` Law of sines

`a = (c sin A) / sin C = (18 * sin (pi/12) ) / sin (pi/4) = 6.5885`