Given the information, we have the following triangle:
then, we can use the formula for the area of the triangle given two sides and the angle between them:
[tex]A=\frac{a\cdot b\cdot\sin (c)}{2}[/tex]where a, b are the two sides and c is the angle.
In this case, we have the following:
[tex]\begin{gathered} a=l=3.9 \\ b=m=2.7 \\ c=\measuredangle N=133 \end{gathered}[/tex]then, using the formula we have the following:
[tex]A=\frac{(3.9)(2.7)\sin(133)}{2}=\frac{(10.53)(\sin (133))}{2}=\frac{7.7}{2}=3.9[/tex]therefore, the area is 3.9cm^2
