Trigonometric area formula: area = 1/2 ab sin (c)what is the area of abc? round to the nearest tenth of a square unit. a) 3.9 square unitsb) 8.4 square unitsc) 11.8 square unitsd) 17.7 square units

Option B.

Step-by-step explanation:

Trigonometric area formula is Area =

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 =

        =

        =

        = 6√2×sin80°

        = 6×(1.414)×0.9848

        = 8.36 square units

        ≈ 8.4 square units

Option B is the answer.