Question

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

Answer 1

The length of AE is 8 units .

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 = (1)/(2)* AE`

BD = 4 units

Putting in the above

`4 = (1)/(2)* AE`

AE = 4 × 2

AE = 8 units

Therefore the length of AE is 8 units .