solve for the missing length

Answer:
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Answer:
[tex]x=6\sqrt{3} =10.39[/tex]
Step-by-step explanation:
The two smaller triangles are similar; hence, the missing length can be computed as:
[tex]\frac{x}{12} =\frac{9}{x}[/tex]
Solving for x,
[tex]x^{2} =12(9)[/tex]
[tex]x=6\sqrt3} =10.39[/tex]