Question

A triangle has sides A, B, and C. The angle between sides A and B is `(5pi)/12`. If side C has a length of `9` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

The length of side A is `2.4(1dp)` unit

Explanation:

The angle between sides A & B is`/_c=(5pi)/12=75^0`
The angle between sides B & C is`/_a=(pi)/12=15^0`
Using sine law we get `A/sina=C/sinc or A=C*(sina/sinc)=9*sin15/sin75=2.4(1dp)`unit[Ans]