To find the area of △ABC using the trigonometry area formula, we can use the equation:
Area = (1/2) * a * b * sin(C)
Given:
a = 7 inches
b = 12 inches
∠C = 77 degrees
Plugging in the values into the formula:
Area = (1/2) * 7 * 12 * sin(77)
Using a calculator to find the sine of 77 degrees (sin(77)) ≈ 0.97437.
Area = (1/2) * 7 * 12 * 0.97437
≈ 41.079 inches^2
Rounded to the nearest inch, the area of △ABC is approximately 41 inches^2.
Therefore, the correct answer is 41 inches^2.
use the trigonometry area formula to find the area to th nearest inch of △ABC, given a=7 inches, b=12 inches, and ∠C=77 degrees.
The answer is either 41 inches^2, 19 inches^2,82 inches^2 or 9 inches^2
1 answer
1 answer