We have that the area of a triangle using two sides and the angle between those sides can be determined using the following expression:
[tex]A=ab\frac{\sin (\theta)}{2}[/tex]Now, we replace and operate:
[tex]A=(7.4)(8.7)\frac{\sin(61)}{2}\Rightarrow A\approx28.2[/tex]So, the area of the triangle is approximately 28.2 squared centimeters.