Answer:
The area of the triangle is 43.5 cm².
Step-by-step explanation:
Since, the area of a triangle is,
[tex]A=\frac{1}{2}\times s_1\times s_2\times sin \theta[/tex]
Where, [tex]s_1[/tex] and [tex]s_2[/tex] are adjacent sides and [tex]\theta[/tex] is the included angle of these sides,
Given,
[tex]s_1=12\text{ cm}[/tex]
[tex]s_2=8\text{ cm}[/tex]
[tex]\theta = 65^{\circ}[/tex]
Hence, the area of the given triangle is,
[tex]A=\frac{1}{2}\times 12\times 8\times sin 65^{\circ}[/tex]
[tex]=\frac{96\times 0.90630778703}{2}[/tex]
[tex]=\frac{87.0055475555}2}=43.5027737778\approx 43.5\text{ square cm}[/tex]
