Question

Find the approximate area of the triangle.

A.
9 square units
B.
19.8 square units
C.
20.1 square units
D.
48.1 square units

Answer 1

The area of triangle is 19.8 square units

Option B is correct.

Explanation:

Given the triangle ABC in which

AB=6.8 units, BC=5.9 units and ∠B=99°

we have to find the area of triangle.

c=6.8 units and a=5.9 units

The area of triangle can be calculated as

`Area=(1)/(2)ac\sin \angle B`

`=(1)/(2)* 5.9* 6.8* \sin 99^(\circ)`

`=20.06* \sin 99^(\circ)=19.813\sim 19.8 units^2`

The area of triangle is 19.8 square units

Option B is correct.

Answer 2

B. 19.8 square units

Explanation:

For this geometry an appropriate formula for the area is ...

area = (1/2)·a·c·sin(B) = (1/2)·(5.9 units)·(6.8 units)·sin(99°) ≈ 19.8 units²