Question

Pls help With this question thank you

Answer 1

`CD=4 \text{ cm }`

Explanation:

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

`$(BC)/(AC) =(ED)/(AD) $`

`$(10)/(AC) =(5)/(4) $`

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

`$(10)/(4+CD) =(5)/(4) $`

`5CD+20=40`

`5CD=20`

`CD=4 \text{ cm }`