Question

What is the value of x in the figure below in this diagram abd cad.

Answer 1

Answer: C. - 16/3

Explanation:

Answer 2

Option C.

Explanation:

Given information:
`\triangle ABD\sim \triangle CAD`, AB=12, BD=x, BC=27.

In triangle ABC and triangle DBA,

`\angle BAC=\angle BDA=90^(\circ)`

`\angle ABC=\angle DBA` (Reflexive property)

By AA property of similarity triangle ABC and triangle DBA are similar.

The corresponding parts of similar triangles are proportional.

`(AB)/(CB)=(BD)/(BA)`

`(12)/(27)=(x)/(12)`

Multiply both sides by 12.

`(12)/(27)* 12=(x)/(12)* 12`

`(144)/(27)=x`

`(16)/(3)=x`

Therefore, the correct option is C.