1. In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°?
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By: anil on 05 May 2019 02.17 am
In the given triangle, two angles are 90° and 60°, => Third angle = 30° 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 60° angle = 6√3 cm => Length of side opposite the 90° angle = $$frac{2}{sqrt{3}} imes 6sqrt{3} = 12$$ cm => Ans - (C)
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