Find the area of each figure round your answer to the nearest tenth
Hypotenuse side of the triangle is 144 degrees
Bigger side of the triangle is 7 inches
Smaller side of the triangle is 4 inches
Show all your work to support your answer
Area = 1/2(7)(4)(sin 144)
Area = 8.2 in^2
3 answers
The area of the triangle is 8.2 square inches.
Show your work
To find the area of a triangle given the lengths of two sides and the angle between them, you can use the formula:
Area = 1/2 * a * b * sin(C)
where a and b are the lengths of the two sides and C is the angle between them in radians.
In this case, a = 7 inches, b = 4 inches, and the angle between them is 144 degrees.
First, convert the angle to radians:
144 degrees * (π / 180) = 2.51327 radians
Now, plug the values into the formula:
Area = 1/2 * 7 * 4 * sin(2.51327)
Area ≈ 8.2 square inches
Therefore, the area of the triangle is approximately 8.2 square inches.
Area = 1/2 * a * b * sin(C)
where a and b are the lengths of the two sides and C is the angle between them in radians.
In this case, a = 7 inches, b = 4 inches, and the angle between them is 144 degrees.
First, convert the angle to radians:
144 degrees * (π / 180) = 2.51327 radians
Now, plug the values into the formula:
Area = 1/2 * 7 * 4 * sin(2.51327)
Area ≈ 8.2 square inches
Therefore, the area of the triangle is approximately 8.2 square inches.