Question

Find the area of the triangle. Round the answer to the nearest tenth.

A.
27.1 square units
B.
29.0 square units
C.
178.3 square units
D.
356.6 square units

Answer 1

c, you use ab Sin(c)/2

Answer 2

The correct option is C.

Explanation:

Given information: AB=20.4, BC=17.7 and ∠ B = 99 °.

It two sides and their inclined angle is given then the area of the triangle is

`A=(1)/(2)ab\sin C`

Where, a and b are two sides of a triangle and C is their inclined angle.

The area of given triangle is

`A=(1)/(2)* 20.4* 17.7 \sin 99^(\circ)`

`A=178.317253`

`A\approx 178.3`

The area of the triangle ABC is 178.3 square units. Therefore the correct option is C.