Question 1084116
Use the law of sines,
{{{sin(B)/b=sin(A)/a}}}
{{{sin(105)/23=sin(A)/14}}}
{{{sin(A)=(14/23)(0.9659)}}}
{{{sin(A)=0.5880}}}
{{{A=36.012}}}
So then, 
{{{A+B+C=180}}}
{{{36.012+105+C+180}}}
{{{C=38.988}}}
Use the law of sines again,
{{{sin(C)/c=sin(B)/b}}}
{{{sin(38.988)/c=sin(105)/23}}}
{{{c=23*(sin(38.988)/sin(105))}}}
{{{c=14.98}}}{{{cm}}}