if a=57 m, b=65 m, and ∠C=86 degrees, then what is the aea of △ ABC to the nearest square meter?
To find the area of triangle ABC, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C)
Given:
a = 57 m
b = 65 m
∠C = 86 degrees
We can calculate the area of the triangle as follows:
Area = (1/2) * 57 m * 65 m * sin(86 degrees)
Using a calculator, we find that sin(86 degrees) ≈ 0.9945.
Area = (1/2) * 57 m * 65 m * 0.9945
= 1864.7175 m^2
Rounded to the nearest square meter, the area of the triangle ABC is approximately 1865 m^2.