Question

What is the length of CD? In this diagram,
ABC ~ EDC.

Answer 1

Hey there!

Answer:

CD = 3.

Explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

`(12-x)/(18) =(x)/(6)`

Cross multiply:

`6(12-x) = 18x`

Distribute the '6':

`72-6x = 18x`

Combine like terms and simplify:

`72 = 24x`

`x = 3`

Therefore, the length of CD is 3.