Respuesta :

Answer:

Step-by-step explanation:

You have a right triangle here.  The way to solve for a missing side in a right triangle is to use Pythagorean's Theorem.  You can't use right triangle trig because you don't have an angle. Pythagorean's Theorem is, in this case,

[tex]x^2=6^2+(2\sqrt{3})^2[/tex] and

[tex]x^2=36+12[/tex] and

[tex]x^2=48[/tex] so

[tex]x=\sqrt{48}[/tex] which simplifies down to

[tex]x=4\sqrt{3}[/tex]

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