Answer:
x=6√3
Step-by-step explanation:
In 30-60-90 triangles, if the hypotenuse is x, the longest leg is [tex]\frac{x}{2}[/tex], and the shortest leg is [tex]\frac{x\sqrt{3} }{2}[/tex].
If the longest leg is 6, then [tex]\frac{x}{2} =6[/tex]
Multiply by 2,
[tex]x=12[/tex]
If x=12,
[tex]\frac{12\sqrt{3} }{2}[/tex]
[tex]=6\sqrt{3}[/tex]
So, the shortest leg is 6√3.
