Question

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

Answer 1

`\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}}`