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 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.