Answer:
[tex]110.9\ ft^{2}[/tex]
Step-by-step explanation:
we know that
If the triangle of the figure is a regular polygon
then
Is an equilateral triangle
Remember that
The equilateral triangle has three equal sides and three equal interior angles
The measure of each interior angle is 60 degrees
To find the area of the equilateral triangle apply the law of sines
[tex]A=\frac{1}{2} b^{2}sin(60\°)[/tex]
we have that
[tex]b=16\ ft[/tex]
substitute
[tex]A=\frac{1}{2} (16^{2})sin(60\°)=110.9\ ft^{2}[/tex]
