In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

In the given triangle, two angles are 30° and 60°, => Third angle = 90°

In a 30-60-90 triangle, the hypotenuse is always twice as long as the side opposite the 30° angle and the side opposite the 60° angle is √3 times as long as the side opposite the 30° angle.

The ratio of sides opposite 30°, 60° and 90° angles =1 : $$\sqrt{3}$$ : 2

Length of the side opposite the 30° angle = 12 cm

=> Length of side opposite the 60° angle = $$12\sqrt{3}$$ cm

=> Ans - (B)