Using $30 - 60 - 90$ degree triangle theorem, find the shortest side of the given triangle.

5

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6

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7

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Solution

The correct option is B $6$
Using $30 - 60 - 90$ degree triangle theorem, the sides are in the ratio $1 : 2 : \sqrt{3}$
Shortest side $=$ $\frac{1}{2} \times$ hypotenuse
So, the shortest side or adjacent side $=$ $\frac{1}{2} \times 12$ $= 6$

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