Question

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 units

B) 8.4 square units

C) 11.8 square units

D) 17.7 square units

Answer 1

its probably 8.5

Explanation:

Answer 2

Option B.

Explanation:

Trigonometric area formula is Area =
`(1)/(2)* absin(C)`

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 =
`(1)/(2)* acsin(B)`

=
`(1)/(2)* acsin(B)`

=
`(1)/(2)* 6* 2√(2)* sin(80)`

= 6√2×sin80°

= 6×(1.414)×0.9848

= 8.36 square units

≈ 8.4 square units

Option B is the answer.