In a right-angled triangle ABC, angle C is 90 °, angle B is 60 °, BC = 8cm. Find AB.

First, we find the angle A:

Angle A = 90 ° – 60 ° = 30 °

In a right-angled triangle, the leg opposite to an angle of 30 ° is half the hypotenuse.

In our case, the hypotenuse is AB, and BC lies opposite an angle of 30 °.

Hence, AB = 2 * BC

AB = 2 * 8 = 16 cm

Answer: AB = 16 cm



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