user783
user783 user783
  • 21-03-2020
  • Mathematics
contestada

In ΔABC, AC = 4. What is the value of ED?

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4
2
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In ΔABC AC 4 What is the value of ED 1 4 2 8 class=

Respuesta :

shilpa85475 shilpa85475
  • 28-03-2020

The value of ED is 2.

Solution:

Given ABC is a triangle and AC = 4

BE = EA = 2.7 and BD = DC = 2.43

It clearly shows that ED is the mid-segment of ΔABC.

By mid-segment theorem,

The segment connecting two points of the triangle is parallel to the third side and is half of that side.

⇒ ED || AC and [tex]ED = \frac{1}{2}AC[/tex]

[tex]$\Rightarrow ED = \frac{1}{2}AC[/tex]

[tex]$\Rightarrow ED = \frac{1}{2}\times 4[/tex]

⇒ ED = 2

The value of ED is 2.

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