it’s the same.
h = b sin C. 1/2 ah =1/2 ab sin C.
( you used 1/2 bh, but the conections is more visible when you use 1/2 ah, you just need to ensure that you use the hight belonging to the side)
Why you use booth?
because sometimes the hight is not givin, you would need to use b sin C anyway to get the hight, therefor it’s easier to make it in one step, not two.
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