In triangle ABC, side BC = 6, angle A = 60 *, angle B = 45 *. find the speaker side.

Let’s use the theorem of sines.

AC / Sin B = BC / Sin A.

AC = (BC * Sin B) / Sin A = (6 * √2 / 2) / (√3 / 2) = 3 * √2 * 2 * √3 / 3 = 2 * √6.

Answer: AC = 2 * √6.



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