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The shorter leg of a 30°-60°-90° triangle is 6. What is the length of the other leg?

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The length of the other leg is 12, I think, but I'm not sure. Sorry if it's wrong.
User Desouza
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Answer:


x=6√(3) units.

Explanation:

It is given that shorter leg of a 30°-60°-90° triangle is 6.

In a triangle larger interior angle has larger opposite side and vice versa.

The length of shortest leg is 6 units it means it is opposite to the angle 30°.

Let the length of second leg be x.

In a right angle triangle,


\tan \theta =\frac{\text{Opposite}}{\text{Adjacent}}


\tan (30^\circ) =(6)/(x)}


(1)/(√(3))=(6)/(x)}

On cross multiplication, we get


x=6√(3)

Hence, the length of the other leg is
x=6√(3) units.

User VirtualVoid
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