if a=57 m, b=65 m, and <C=86 degrees, then what is the aea of △ ABC to the nearst meter

Answer 1

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

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

Given that a = 57 m, b = 65 m, and <C = 86 degrees, we can substitute the values into the formula:

Area = (1/2) * 57 m * 65 m * sin(86 degrees)

Using a calculator, the value of sin(86 degrees) is approximately 0.9961946981.

Area = (1/2) * 57 m * 65 m * 0.9961946981
Area ≈ 1832.508646 m²

Therefore, the area of triangle ABC is approximately 1833 m² to the nearest meter.