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xenn [34]
3 years ago
10

In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for th

e length of side DE
Mathematics
1 answer:
igomit [66]3 years ago
4 0

The reasonable estimate for the length of side DE is 3 units

Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.

Using the similarity theorem of a triangle, this is expressed as:

AC = DE

Using the pythagoras theorem to get the length of AC:

AB^2 = AC^2 + BC^2

5^2 + AC^2 + 4^2

AC^2 = 25 - 16

AC^2 = 9

AC= 3

Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units

Learn more on similar shapes here: brainly.com/question/14285697

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