Respuesta :
We are given two sides and their included angle. Using the side-angle-side method we can find the Area of the triangle using the following formula:
Area = 0.5 ab sin(γ)
a = Measure of first side = 3.2 feet
b = Measure of second side = 4.7 feet
γ = Angle between the two sides = 62 degrees
Using the values in the above formula, we get:
Area = 0.5 x ( 3.2) x (4.7) x (sin(62))
Area = 6.64 square feet (rounded to nearest hundredth)
Thus, the Area of the given triangle is 6.64 square feet
Area = 0.5 ab sin(γ)
a = Measure of first side = 3.2 feet
b = Measure of second side = 4.7 feet
γ = Angle between the two sides = 62 degrees
Using the values in the above formula, we get:
Area = 0.5 x ( 3.2) x (4.7) x (sin(62))
Area = 6.64 square feet (rounded to nearest hundredth)
Thus, the Area of the given triangle is 6.64 square feet
The area of a triangle is 6.6397 square ft.
Triangle
Triangle has three sides and three angles.
Given
In [tex]\Delta ABC[/tex]
Side AB = 3.2 ft.
Side AC = 4.7 ft.
Angle A = 62 degree
How to calculate the area of the triangle?
The area of a triangle is given by the formula
[tex]\rm Area\ of\ \Delta ABC = \dfrac{1}{2} * Base*Height[/tex]
Here
Base = 3.2
Heignt = 4.7sin62
Then
[tex]\rm Area\ of\ \Delta ABC = \dfrac{1}{2} * 3.2*4.7sin62^{o} \\\\ \rm Area\ of\ \Delta ABC = 6.6397[/tex]
Thus, the area of a triangle is 6.6397 square ft.
More about triangles link is given below.
https://brainly.com/question/25813512
