Question

What is the value of x in the figure below? In this diagram, ABC~CAD.

Answer 1

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 $\sqrt{30}$.

Answer 2

I hope this helps you