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 .​

Answer 1

To find the area of a triangle, we can use the formula:

Area = (1/2) * a * b * sin(C)

Substituting the given values, we have:

Area = (1/2) * 7 * 12 * sin(77°)

Calculating this on a calculator, we find:

Area ≈ (1/2) * 7 * 12 * 0.9781

Area ≈ 41.8266 square inches

Therefore, the area of triangle ABC is approximately 41.83 square inches.