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

What is the length of CD? In this diagram, AABC ~ AEDC.-example-1
User Pollyanna
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1 Answer

8 votes

Answer:


\implies\overline {CD} = 4

Explanation:


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


\therefore (BC)/(CD) = (AC)/(EC)..(by\: c. s. s. t)


\therefore (20-x)/(x) = (20)/(5)


\therefore (20-x)/(x) = (4)/(1)

4x = 20- x

4x + x = 20

5x = 20


\therefore x = {20}{5}


\therefore x = 4


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

User Sudobangbang
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