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bixtya [17]
4 years ago
5

Pls help With this question thank you

Mathematics
1 answer:
Lapatulllka [165]4 years ago
6 0

Answer:

CD=4 \text{ cm }

Step-by-step explanation:

We have a similarity of triangles. Once the side BC and ED are parallel,

$\frac{BC}{AC} =\frac{ED}{AD} $

$\frac{10}{AC} =\frac{5}{4} $

Once AC=AD+CD \Rightarrow AC=4+CD

$\frac{10}{4+CD} =\frac{5}{4} $

5CD+20=40

5CD=20

CD=4 \text{ cm }

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