Help please and help me understand how to solve

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]