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Answer :

Answer: 30

Step-by-step explanation:

Since this is a right triangle, the pythagorean theorem says

[tex]x^2 + 16^2 = 34^2[/tex]

So if you rearrange for [tex]x[/tex] you get

[tex]x = \sqrt{34^2 - 16^2} = \boxed{30}[/tex].