In triangle ABC, side BC = 6 cm, angle A = 60º, angle B = 45º. find the AC side.

univerkov | February 26, 2021 | education

To solve this, we use the theorem of sines for a triangle.

ВС / SinBAC = AC / SinABC.

AC = BC * SinABC / SinBAC.

AC = 6 * (√2 / 2) / (√3 / 2).

AC = (6 * √2 * 2) / (2 * √3) = 6 * √2 / √3 = 6 * √3 * √2 / 3 = 2 * √6 cm.

Answer: The length of the speaker side is 2 * √6 cm.

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