Find the area of a triangle with sides of length 14 inches and 5 inches and the included angle 27 degrees?
To find the area of a triangle when we have the lengths of two sides and the included angle, we can use the formula:
Area = (1/2) * a * b * sin(C)
Where a and b are the lengths of the sides, and C is the included angle.
In this case, a = 14 inches, b = 5 inches, and C = 27 degrees.
Plugging the values into the formula:
Area = (1/2) * 14 inches * 5 inches * sin(27 degrees)
Calculating sin(27 degrees) ≈ 0.454:
Area ≈ (1/2) * 14 inches * 5 inches * 0.454
Area ≈ 3.182 inches^2
Therefore, the area of the triangle is approximately 3.182 square inches.