Answer
$A= 14.34457 cm^{2}$
Work Step by Step
Area of a triangle is given by
$A=\frac{1}{2}\times Base\times Height$
Here, base =b and height =h
In order to find height, we will consider
$sin\theta=\frac{opp}{hyp}=\frac{h}{b}$
$h=bsin\theta$
Thus, $A=\frac{1}{2}\times a\times bsin\theta$
$A=\frac{1}{2}absin\theta$
$A=\frac{1}{2}\times 10 \times 3 sin 107^{\circ}$
$=\frac{1}{2}\times 10 \times 3 \times sin 107^{\circ}$
Hence, $A= 14.34457 cm^{2}$