Question

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. ft² The figure contains a triangle. One side is 2.7 feet. A second side is 3.4 feet. The angle between the given sides is 40 degrees.

Answer 1

Answer:

Area of the triangle $\simeq$ 5.9 sq. ft. .

Step-by-step explanation:

Length of two sides of the triangle are, 2.7 feet and 3.4 feet and the angle between them is 40° .

So, the area of the triangle is given by,

$2.7 \times 3.4 \times \sin {40^{\circ}}$  sq. ft.

$\simeq 5.9$ sq. ft.

Answer 2

Answer:

The area of triangle is $3.42 \mathrm{ft}^{2}$

Explanation:

We are given two sides of a triangle and their including angle.

The two given sides of a triangle are , one is 2.7 ft and other is 3.4 ft

And the including angle is given to be 40°

The formula to find area of triangle when two sides and their including angle is given is-

=$\frac{a b \sin \theta}{2}$

where a and b are two sides and θ is the including angle.

Substituting the given values,  

Area =$\frac{2.7 \times 3.4 \times \sin 40^{\circ}}{2}$

 = $\frac{2.7 \times 3.4 \times 0.74}{2}$

= 3.42

Hence $3.42 \mathrm{ft}^{2}$ is the area of triangle.