In triangle ABC, angle C is 90 °, angle A is 30 °, CB = 3cm. Identify the speaker.

According to the properties of a right-angled triangle, a leg lies opposite an angle of 30 °, which is half the hypotenuse.

Opposite the angle of 30 ° lies CB, which is 3 cm, then the hypotenuse is AB = 6 cm.

If one angle in a right triangle = 30 °, then the other = 60 °.

Opposite the angle of 60 ° lies the leg = AB * √3 / 2, then AC = 3√3.

Answer: AC = 3√3 cm.

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