The measure of EC is 1 ft.
Solution:
Given data:
AD = 8 ft, DB = 2 ft, AE = 4 ft
To find the measure of EC:
Using triangle proportionality theorem,
If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.
[tex]$\frac{AD}{DB} =\frac{AE}{EC}[/tex]
[tex]$\frac{8}{2} =\frac{4}{EC}[/tex]
Do cross multiplication.
[tex]8EC=2\times 4[/tex]
8 EC = 8
Divide by 8 on both side of the equation, we get
EC = 1
EC = 1 ft
Hence the measure of EC is 1 ft.
