If △ABC
has a=14 inches
, b=60 inches
, and ∠C=77 degrees
, then what is the area in square inches?
To find the area of triangle △ABC, we can use the formula:
Area = 0.5 * a * b * sin(C)
In this case, a = 14 inches, b = 60 inches, and ∠C = 77 degrees.
First, we need to convert the angle from degrees to radians:
∠C = 77 degrees * (π/180) ≈ 1.346 radians
Now, we can plug in the values into the formula:
Area = 0.5 * 14 * 60 * sin(1.346)
Area = 420 * sin(1.346)
Area ≈ 420 * 0.987
Area ≈ 414.54 square inches
Therefore, the area of triangle △ABC is approximately 414.54 square inches.