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