Question

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

Answer 1

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

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

$\frac{12-x}{18} =\frac{x}{6}$

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.