Answer;
22.88m
Explanation
The formula for finding the area of the trinagle is expressed as;
[tex]A\text{ = }\frac{1}{2}ab\text{ sin}\theta[/tex]
a and b arethe sides of the triangle
theta is the central angle between the sides
Given
a = 12m
b = 7m
theta = 33 degrees
Substitute the given values into the formula as shown;
[tex]\begin{gathered} A\text{ = }\frac{1}{2}\cdot12\cdot7\text{ sin 33} \\ A\text{ = 6 }\cdot\text{ 7 sin33} \\ A\text{ = 42sin33} \\ A\text{ = 42(}0.5446\text{)} \\ A\text{ }\approx\text{ }22.88m \end{gathered}[/tex]
Hence the area of the triangle to the nearest hundredth is 22.88m
