Use the trigonometry area formula to find the area (to the nearest inch) of
△ABC
, given
a=7 inches
,
b=12 inches
, and
∠C=77 degrees
.
To find the area of △ABC, we can use the trigonometry area formula:
Area = (1/2) * a * b * sin(C)
Plugging in the given values:
a = 7 inches,
b = 12 inches,
∠C = 77 degrees,
Area = (1/2) * 7 * 12 * sin(77 degrees)
Using a calculator, we can find sin(77 degrees) ≈ 0.9781.
Area ≈ (1/2) * 7 * 12 * 0.9781 ≈ 41.3376 square inches
Rounding to the nearest inch, the area of △ABC is approximately 41 square inches.