Answer:
Option B.
Step-by-step explanation:
Trigonometric area formula is Area = [tex]\frac{1}{2}\times absin(C)[/tex]
Where a and b are two sides of the triangle and C is the angle between these two sides.
As given in the figure, side a = 6 units, c = 2√2 units and ∠B = 80°
Then area of the triangle will be defined by the formula
Area = [tex]\frac{1}{2}\times acsin(B)[/tex]
= [tex]\frac{1}{2}\times acsin(B)[/tex]
= [tex]\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)[/tex]
= 6√2×sin80°
= 6×(1.414)×0.9848
= 8.36 square units
≈ 8.4 square units
Option B is the answer.
