Given data:
The first given value is AC = x.
The second given value is BC = 3x.
The third given value is AB = 200^(1/2).
The expression for the Pythagoras theorem is,
[tex](AC)^2+(BC)^2=(AB)^2[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} x^2+(3x)^2=(\sqrt[]{2000})^2 \\ 10x^2=200 \\ x^2=20 \\ x=2\sqrt[]{5} \end{gathered}[/tex]Thus, the value of x is 2(5)^(1/2).
