In a triangle ABC, side AC=105cm , side AB=76cm and angle A=29° . find the area of triangle ABC?
To find the area of triangle ABC, we will use the formula:
Area = 1/2 * AB * AC * sin(A)
Given that AB = 76cm, AC = 105cm, and angle A = 29°, we can substitute these values into the formula:
Area = 1/2 * 76cm * 105cm * sin(29°)
Using a calculator to find the sine of 29°, we get sin(29°) ≈ 0.48481
Now we can calculate the area:
Area = 1/2 * 76cm * 105cm * 0.48481
≈ 0.5 * 76cm * 105cm * 0.48481
≈ 2426.22 cm²
Therefore, the area of triangle ABC is approximately 2426.22 cm².