Question

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

Answer 1

Answer:

Option C.

Step-by-step 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.

$\dfrac{AB}{CB}=\dfrac{BD}{BA}$

$\dfrac{12}{27}=\dfrac{x}{12}$

Multiply both sides by 12.

$\dfrac{12}{27}\times 12=\dfrac{x}{12}\times 12$

$\dfrac{144}{27}=x$

$\dfrac{16}{3}=x$

Therefore, the correct option is C.

Answer 2

Answer: C. - 16/3

Step-by-step explanation: