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Mark Veenstra · Answer 1 · 2023-12-31T14:05:59+0000

Answer:

5.88 square centimeters.

Step-by-step 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:

$A=(1)/(2)ab\sin \theta$

In this case: a=4cm, b=5cm, θ=144 degrees

Thus:

$\begin{gathered} A=(1)/(2)*4*5*\sin 144\degree \\ =10*0.5878 \\ =5.878 \\ \approx5.88\operatorname{cm}^2 \end{gathered}$

The area of the triangle is approximately 5.88 square centimeters (correct to the nearest hundredth).

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