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Stolb23 [73]
3 years ago
5

What is the length of CD? In this diagram, AABC ~ AEDC.

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

\implies\overline {CD} = 4

Step-by-step explanation:

\triangle ABC \sim \triangle EDC... (given)

\therefore \frac{BC}{CD} = \frac{AC}{EC}..(by\: c. s. s. t)

\therefore \frac{20-x}{x} = \frac{20}{5}

\therefore \frac{20-x}{x} = \frac{4}{1}

4x = 20- x

4x + x = 20

5x = 20

\therefore x = {20}{5}

\therefore x = 4

\huge \purple {\boxed {\implies\overline {CD} = 4}}

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