9514 1404 393
Answer:
D. 72sin(α)cos(α)
Step-by-step explanation:
Given two sides and the angle between, the area of a triangle can be found from the formula ...
Area = (1/2)ab·sin(C)
Here, that translates to ...
Area = (1/2)(12)(y)sin(α)
Using the trig relation ...
Cos = Adjacent/Hypotenuse
we can find y:
cos(α) = y/12
y = 12·cos(α)
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Substituting this into the area calculation above, we have ...
Area = (1/2)(12)(12·cos(α))sin(α)
Area = 72sin(α)cos(α)
