Answer:
[tex]A=14.42\ units^2[/tex]
Step-by-step explanation:
we know that
The area of a triangle applying the law of sines is equal to
[tex]A=\frac{1}{2}(a)(b)sin (C)[/tex]
where
C is the included angle between sides a and b
a and b are length sides of triangle
we have
[tex]a=5\ units\\b=6\ units\\C=74\°[/tex]
substitute
[tex]A=\frac{1}{2}(5)(6)sin (74\°)[/tex]
[tex]A=14.42\ units^2[/tex]
