In triangle ABC, Angle B is 60 degrees, Angle C is 30 degrees, BC is 2. Find its area.

This triangle is rectangular. Angle C = 90 degrees. The angle opposite to the angle of 30 degrees is equal to half of the hypotenuse AB = 2BC => AB = 4 By the Pythagorean theorem, we find the leg AC = √ 12 = 2 √ 3 S = 1/2 × (AC × BC) = 2 √ 3.

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