Question 891198
{{{drawing(800,2600/7,-.5,2.3,-.5,.8,
locate(0,0,A), locate(1.8,0,B), locate(.35,.42,C),
locate(.32,.34,"120°"),locate(-.01,.23,b=0.5),
locate(.9,.28,a=1.5),locate(.7,0,"c=???"),
triangle(0,0,1.802775638,0,.5*cos(.8046336771),.5*sin(.8046336771)) )}}}

Law of cosines:

{{{c^2}}}{{{""=""}}}{{{a^2+b^2-2*a*b*cos(C)}}}

{{{c^2}}}{{{""=""}}}{{{(1.5)^2+(0.5)^2-2*(1.5)*(0.5)*cos("120°"))}}}

{{{c^2}}}{{{""=""}}}{{{3.25}}}

{{{c}}}{{{""=""}}}{{{sqrt(3.25)}}}

{{{c}}}{{{""=""}}}{{{1.802775638}}}

To nearest tenth,

{{{c}}}{{{""=""}}}{{{1.8}}}

Edwin</pre>