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

Answer 1

Length of side`A` is `2.928`

Explanation:

Here the angle opposite side `A` is (pi/12)`(as it is between sides`B`and`C`). Further angle between`A`and`B`is`pi/4`and it is opposite side`C#. Hence using sine formula

`A/sin(pi/12)=C/sin(pi/4)` or

`A=Cxxsin(pi/12)/sin(pi/4)=8xx0.2588/0.7071=2.928`