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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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tiny-mole [99]

Answer:

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Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

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