Question 1204634
<font color=black size=3>
As mentioned by the other tutors, the <font color=red>triangle <u>cannot</u> be formed</font> with these sides and given angle. 
Using the argument "largest side opposite largest angle" is perhaps the most efficient pathway.


I'll show the law of sines scratch work that will lead to the same conclusion.


sin(alpha)/a = sin(beta)/b
sin(111)/12 = sin(beta)/23
sin(beta) = 23*sin(111)/12
sin(beta) = 1.789 approximately 
Please make sure that your calculator is set to degrees mode.


We stop here since there are no real number solutions for angle beta. 
Recall that {{{-1 <= sin(x) <= 1}}}
The largest sine can get is 1.


Answer: <font color=red>impossible</font>
</font>