Question

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

Answer 1

I hope this helps you

Answer 2

(B)
`x=√(30)`

Explanation:

It is given that triangle ABC is similar to triangle CAD, therefore by using the basic proportionality theorem, we get

`(AD)/(CD)=(DB)/(AD)`

⇒
`(x)/(10)=(3)/(x)`

⇒
`x^(2)=30`

Taking square root on both the sides, we get

`x=√(30)`

Thus, the value of x is
`√(30)`.