Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/8`. If side C has a length of `21` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`color(brown)(" Side " a ~~ 14.2`

Explanation:

Applying Law of Sine :

`a / sin A = c / sin C`

`a = (c * sin A) / sin C = (21 * sin (pi/12) )/ sin (pi/8)`

`a = (21 * 0.2588) / 0.3827 = color(green)(14.2029)`