Question

Given that abc is similar to dec solve x​

Answer 1

The value of x is option C) x=8.6

Step-by-step explanation:

Given that,

• The triangle ABC is similar to triangle DEC.
• It means that the side AB of triangle ABC is in proportion to side DE of triangle DEC.

⇒ AB/DE

⇒ 11/7.

Also, the side AD of triangle ABC is in proportion to side DC of triangle DEC.

⇒ AD/DC

⇒ (x+15)/15.

To find the value of x :

Equating the two proportions AB/DE and AD/DC.

11/7 = (x+15)/15

Keep x term alone on one side,

x+15 = 15$\times$(11/7)

x = (165/7) - 15

x = 23.6 - 15

x = 8.6