if the area △ABC=528.3 mm^2,a=21 mm and ∠C=57 degrees, then what is the lenght of B round your answer to the nearest tenth
the answer is not 50.3
To find the length of side B, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C)
Given that the area (Area) is 528.3 mm^2, side a (a) is 21 mm, and angle C (∠C) is 57 degrees, we can substitute these values into the formula to solve for side b:
528.3 = (1/2) * 21 * b * sin(57)
Divide both sides by (1/2) * 21 * sin(57) to isolate b:
b = (528.3) / ((1/2) * 21 * sin(57))
b ≈ 32.7 mm
Therefore, the length of side B is approximately 32.7 mm, rounded to the nearest tenth.