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

Question

asked Dec 15, 2019 224k views

2 Answers

Hungrykoala · Answer 1 · 2019-12-20T14:41:55+0000

Answer:

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.