In triangle ABC, angle C = 90 angle A = 30 AC = 10√ 3 find AB.

The cosine of the angle in a right-angled triangle is equal to the ratio of the leg adjacent to the angle to the hypotenuse.

Cоs30 = АС / АB.

√3 / 2 = 10 * √3 / AB.

AB = 10 * √3 / √3 / 2 = 10 * 2 = 20 cm.



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