Respuesta :
Answer:
Area of the triangle [tex]\simeq[/tex] 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,
[tex]2.7 \times 3.4 \times \sin {40^{\circ}}[/tex] sq. ft.
[tex]\simeq 5.9[/tex] sq. ft.
Answer:
The area of triangle is [tex]3.42 \mathrm{ft}^{2}[/tex]
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-
=[tex]\frac{a b \sin \theta}{2}[/tex]
where a and b are two sides and θ is the including angle.
Substituting the given values,
Area =[tex]\frac{2.7 \times 3.4 \times \sin 40^{\circ}}{2}[/tex]
= [tex]\frac{2.7 \times 3.4 \times 0.74}{2}[/tex]
= 3.42
Hence [tex]3.42 \mathrm{ft}^{2}[/tex] is the area of triangle.
