find the area of the triangle if a equals 9 cm B equals 5 cm and C equals 40° round your answer to the nearest 10th
To find the area of a triangle when given two sides and the included angle, we can use the formula:
Area = 0.5 * a * b * sin(C)
First, convert the angle from degrees to radians:
C = 40° = 40 * π / 180 = 0.6981 radians
Now plug in the values:
Area = 0.5 * 9 cm * 5 cm * sin(0.6981)
Area = 0.5 * 45 cm^2 * sin(0.6981)
Area ≈ 15.5 cm^2
Therefore, the area of the triangle is approximately 15.5 cm^2.