Question

Given that BD is the length of the mid-segment.What is the length of AE?

Answer 1

Theorem:
The segment that joins the midpoints of two sides of a triangle (the mid-segment) is parallel to the third side and is half its length.

This means that since BD is the mid-segment, BD is parallel to and half the length of AE.

BD has length 4.
BD is half the length of AE.
What is the length of AE?

Answer 2

Answer:

The length of AE is 8 units .

Step-by-step explanation:

Now by using the midpoint theorem .

This theorem states that the segment joining two sides of a triangle at the midpoints  is parallel to the third side and is half the length of the third side .

Thus

BD is the segment joining midpoints B and D of triangle and is parallel to side AE.

$BD = \frac{1}{2}\times AE$

BD = 4 units

Putting in the above

$4 = \frac{1}{2}\times AE$

AE = 4 × 2

AE = 8 units

Therefore the length of AE is 8 units .