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In triangle ABC shown below, side AB is 10 and side AC is 8: Triangle ABC with segment joining point D on segment AB and point E on segment AC.
Which statement is needed to prove that segment DE is parallel to segment BC and half its length?
A.Segment AD is 5, and segment AE is 4. (This is the right answer).
B.Segment AD is 4, and segment AE is 8.
C.Segment AD is 4, and segment AE is 5.
D.Segment AD is 5, and segment AE is 2.

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YellowGold
The statement that is s needed to prove that segment DE is parallel to segment BC and half its length is A.Segment AD is 5, and segment AE is 4.

Pls. see attachment for further explanation. 
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akposevictor

Based on the midsegment theorem, the statement needed is:

A. Segment AD is 5 (10/2), and segment AE is 4 (8/2).

What is the Midsegment Theorem?

According to the midsegment theorem, the length of the line segment that intersect two sides of a triangle and is parallel to the third side equals half the length of the third side.

Using the midsegment theorem, to prove that segment DE is parallel to segment BC and is half of BC, we would use:

A. Segment AD is 5 (10/2), and segment AE is 4 (8/2).

Learn more about the midsegment theorem on:

https://brainly.com/question/12234706

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