If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42

If The Length Of Overline AC Equals 84, What Is The Length Of The Midsegment Overline DE ?A) 28B) 32C)

Answers

Answer 1

Similar shapes may or may not be congruent

The length of DE is 42 units

The given parameters are:

[tex]\mathbf{AC = 84}[/tex]

[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint

The equivalent ratio is then represented as:

[tex]\mathbf{BD : DE = BA : AC}[/tex]

Substitute [tex]\mathbf{BA = 2BD}[/tex]

[tex]\mathbf{BD : DE = 2BD : AC}[/tex]

Express as fraction

[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]

Make DE the subject

[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]

[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]

Substitute 84 for AC

[tex]\mathbf{DE= \frac{84}{2 }}[/tex]

[tex]\mathbf{DE= 42}[/tex]

Hence, the length of DE is 42 units

Read more about similar shapes at:

https://brainly.com/question/20536565


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Step-by-step explanation:

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Hi there! I am GraceRosalia (SilentNature), and I hope my answer will help you!

3.6w=2(0.8w+12)

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Move all the constants to the left side:

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[tex]SilentNature[/tex]

Answer:

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Step-by-step explanation:

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Simplify

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Answer:

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======================================================

Explanation:

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Step-by-step explanation:

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