Answer:
(B) [tex]x=\sqrt{30}[/tex]
Step-by-step explanation:
It is given that triangle ABC is similar to triangle CAD, therefore by using the basic proportionality theorem, we get
[tex]\frac{AD}{CD}=\frac{DB}{AD}[/tex]
⇒[tex]\frac{x}{10}=\frac{3}{x}[/tex]
⇒[tex]x^{2}=30[/tex]
Taking square root on both the sides, we get
[tex]x=\sqrt{30}[/tex]
Thus, the value of x is [tex]\sqrt{30}[/tex].
