Answer:
DE is 36/5
Step-by-step explanation:
The ratio between ΔAED and ΔBEC can be found by
[tex]\frac{AD}{BC}[/tex] =[tex]\frac{8}{10}[/tex]
[tex]\frac{8}{10}[/tex] can be reduced as [tex]\frac{4}{5}[/tex]
[tex]\frac{4}{5}[/tex] can be written in the ratio form as 4:5
thus ΔAED : ΔBEC
4 : 5
⇒ 5×ΔAED=4×ΔBEC.
So to find DE
5×DE=4×CE, CE=9
DE=[tex]\frac{4(9)}{5}[/tex]
DE =[tex]\frac{36}{5}[/tex]
