I have no idea what you are on about Bambam89.
I have struggled unsucessfully with this question before.
Tiggsy's outline is excellent. THANKS TIGGSY

I will fill the blanks in for you a little more Bambam.
Here is the initial pic that Tiggsy has described.

I do not have a lot of time now but Tiggsy told you to :
1) use the sine rule to get x in terms of theta and b
2) use the sune rule to get y in terms of theta and b
3) recognixe that a = x+y and hence express a in terms of theta and b
this is the outcome you should be able to get.
\(a=x+y=b(1+\frac{1}{\sqrt3})(cos\theta+sin\theta)\)
See if you can get to this point and then see if you can follow Tiggsy's instructions to finish the problem.
You can let me know how you get on if you want and maybe I can help you more if you need it.
You may need to send a note with the address to me by private message to get my attention though, otherwise i may not see your post.