Answer:
[tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
Given : BC is parallel to DE
To Find : What is the length of CE?
Solution :
AB = 3
BD = 2
AC = 4
Since BC || DE
So, [tex]\frac{AB}{BD}=\frac{AC}{CE}[/tex]
[tex]\frac{3}{2}=\frac{4}{CE}[/tex]
[tex]CE=\frac{4 \times 2}{3}[/tex]
[tex]CE=\frac{8}{3}[/tex]
[tex]CE=2\frac{2}{3}[/tex]
Hence the length of CE is [tex]2\frac{2}{3}[/tex]
