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 33.6 or 50
To find the length of side B, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, the base is side B and the height is a. We are given that the area is 528.3 mm^2 and side a is 21 mm. Plugging these values into the formula, we get:
528.3 = (1/2) * B * 21
Simplifying the equation, we have:
528.3 = 10.5B
Dividing both sides by 10.5, we find:
B = 528.3 / 10.5
B ≈ 50.3
Therefore, the length of side B is approximately 50.3 mm, rounded to the nearest tenth.