Answer :
The area of the triangle EFG is 7.4 square units.
Explanation:
Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and [tex]m\angle E=22^{\circ}[/tex]
We need to determine the area of the triangle EFG
Area of the triangle:
The area of the triangle EFG can be determined using the formula,
[tex]\text {Area}=\frac{1}{2} fg \sin E[/tex]
Substituting the values, we get,
[tex]\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}[/tex]
Simplifying the values, we have,
[tex]\text {Area}=\frac{1}{2}(40)(0.37)[/tex]
Multiplying, we get,
[tex]\text {Area}=\frac{14.8}{2}[/tex]
Dividing, we get,
[tex]\text {Area}=7.4[/tex]
Hence, the area of the triangle EFG is 7.4 square units.