Question

the triangles are similar by the AA Similarly Postulate. Find the value of x.

Answer 1

6/8 = 9/x
6x = 72
  x = 12

answer
x = 12

Answer 2

Answer: The value of x =12

Step-by-step explanation:

Given : The triangles are  similar by the AA Similarly Postulate.

We know that the corresponding sides of two similar triangles are proportional.

Then from the given figure , we have

$\dfrac{6}{6+2}=\dfrac{9}{x}\\\\\Rightarrow\dfrac{6}{8}=\dfrac{9}{x}\\\\\Rightarrow\ x=\dfrac{9\times8}{6}\\\\\Rightarrow\ x=12$

Hence, the value of x =12