In triangle ABC AC = BC = 2√3, angle С = 120⁰. Find the length of side AB

Let us determine the length of the side AB by the cosine theorem.

AB ^ 2 = AC ^ 2 + BC ^ 2 – 2 * AC * BC * Cos120 = 12 + 12 – 2 * 2 * √3 * 2 * √3 * (-1/2) = 24 + 12 = 36.

AB = 6 cm.

Answer: The length of the AB side is 6 cm.



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