Respuesta :

gmany

The segments AE, EC, AD and DB are in proportion.

Therefore we have the equation:

[tex]\dfrac{CE}{BD}=\dfrac{AE}{AD}[/tex]

AE = 4ft, AD = 8ft and BD = 2ft. Substitute:

[tex]\dfrac{CE}{2}=\dfrac{\not4^1}{\not8_2}[/tex]      multiply both sides by 2

[tex]CE=\dfrac{1}{\not2_1}\cdot\not2^1\\\\\boxed{CE=1\ ft}[/tex]

ankitprmr2

According to the property of similar triangles, the ratio of their corresponding sides must be static. Thus, the length of CE is 1 ft.

In the figure, it is mentioned that BC is parallel to DE.

The length of AD is 8 ft.

The length of BD is 2 ft.

The length of AE is 4 ft.

The length of CE needs to be determined as per the problem.

If the line DE is parallel to the line BC, then the triangle AED and triangle ABC must be similar to each other.

Thus, according to the property of similar triangles the ratio of their corresponding sides must be static.

Therefore,

[tex]\begin{aligned}\dfrac{AD}{DB}&=\dfrac{AE}{EC}\\\dfrac{8}{2}&=\dfrac{4}{CE}\\CE&=1\;\rm{ft} \end{aligned}[/tex]

Thus, the length of CE is 1 ft.

To know more about similar triangles, please refer to the link:

https://brainly.com/question/20502277

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