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lianna [129]
3 years ago
14

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

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

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.

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