Question

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

Answer 1

D is the answer

Explanation:

Answer 2

D

Explanation:

The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is

`(CD)/(AD)` =
`(DA)/(DB)` , substitute values

`(13)/(x)` =
`(x)/(3)` ( cross- multiply )

x² = 39 ( take square root of both sides )

x =
`√(39)` → D