Answer:
3 units
Step-by-step explanation:
In a 30-60-90 triangle, the length are given by:
[tex]x \\ \\ \frac{x}{2} \\ \\ \frac{x}{2} \sqrt{3} [/tex]
Where the longest side x, is the hypotenuse.
The shortest side is
[tex] \frac{x}{2} [/tex]
Since x=6 is the hypotenuse, the shortest side length is:
[tex] \frac{6}{2} = 3[/tex]
