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
1 answer:
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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Answer:
D
Step-by-step explanation:
Recall that the area of a triangle is given by:
In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:
We can write the following ratios:
Solve for <em>x</em> and <em>y</em>:
Substitute:
And simplify. Hence:
In conclusion, our answer is D.