Question
if A equals 57MB equals 65M and C equals 86° then what is the area of ABC to the nearest square meter
Answers
GPT 3.5
To find the area of triangle ABC, we can use the formula for the area of a triangle with known side lengths and the included angle.
Area = 1/2 * A * B * sin(C)
Given that:
A = 57 m
B = 65 m
C = 86°
Convert the angle from degrees to radians:
C = 86° * (π/180) ≈ 1.50 radians
Now, plug in the values into the formula:
Area = 1/2 * 57 * 65 * sin(86°) ≈ 1/2 * 57 * 65 * sin(1.50) ≈ 1767.48 square meters
Therefore, the area of triangle ABC to the nearest square meter is approximately 1767 square meters.
Area = 1/2 * A * B * sin(C)
Given that:
A = 57 m
B = 65 m
C = 86°
Convert the angle from degrees to radians:
C = 86° * (π/180) ≈ 1.50 radians
Now, plug in the values into the formula:
Area = 1/2 * 57 * 65 * sin(86°) ≈ 1/2 * 57 * 65 * sin(1.50) ≈ 1767.48 square meters
Therefore, the area of triangle ABC to the nearest square meter is approximately 1767 square meters.