Answer:
12
Step-by-step explanation:
First, to find the side of the first triangle, divide by the square root of 3. so 6[tex]/\sqrt{3}[/tex]. Which is 2 radical(Square root) 3. To get the final side of the triangle, multiply [tex]2\sqrt{3}[/tex] by 2 which gets you to [tex]4\sqrt{3}[/tex]. To find X, multiply [tex]4\sqrt{3}[/tex] by [tex]\sqrt{3}[/tex] which equals 12. The ratio to follow for 30, 60, 90 triangles is [tex]1:\sqrt{3}:2[/tex]. the first being the short side, the second being the long side, and the third the hypotenuse.
[tex]6/\sqrt{3} = 2 \sqrt{3}[/tex]
[tex](2\sqrt{3} )(2)[/tex][tex]=4\sqrt{3}[/tex]
[tex](4\sqrt{3} )(\sqrt{3} )=12[/tex]
