Answer:
5.88 square centimeters.
Explanation:
Given two sides of a triangle and an Included angle (the angle in between the two given sides), the area of the triangle is calculated using the formula below:
[tex]A=\frac{1}{2}ab\sin \theta[/tex]
In this case: a=4cm, b=5cm, θ=144 degrees
Thus:
[tex]\begin{gathered} A=\frac{1}{2}\times4\times5\times\sin 144\degree \\ =10\times0.5878 \\ =5.878 \\ \approx5.88\operatorname{cm}^2 \end{gathered}[/tex]
The area of the triangle is approximately 5.88 square centimeters (correct to the nearest hundredth).
