use the formula A=1/2 ab sin C to determine the area of △ABC. what is the area to the nearest square inch if a=16 inches,b=18 inches and ∠C=43 degrees
To find the area of triangle ABC using the formula A = (1/2)ab sin C, we need to substitute the values into the formula.
Given: a = 16 inches, b = 18 inches, and angle C = 43 degrees.
A = (1/2)(16)(18) sin(43 degrees)
A = 8(18) sin(43 degrees)
A ≈ 8(18)(0.68199836) [using sin(43 degrees) ≈ 0.68199836]
A ≈ 93.10225664 square inches
Therefore, the area of triangle ABC is approximately 93.10225664 square inches when rounded to the nearest square inch.