Question

Pls help With this question thank you

Answer 1

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

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

$5CD+20=40$

$5CD=20$

$CD=4 \text{ cm }$