In triangle ABC, A = 45 degrees, C = 30 degrees AB = 3. Find the side of BC.

To determine the lengths of the sides of a triangle, we use the theorem of sines.

ВС / SinВАС = BA / SinBCA.

ВС / Sin45 = BA / Sin30.

ВС = Sin45 * (BA / Sin30).

BC = (√2 / 2) * (3 / (1/2).

BC = 3 * √2 cm.

Answer: The BC side is 3 * √2 cm.



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