Answer:
[tex]AE=70\ units[/tex]
Step-by-step explanation:
we know that
The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
In this problem
Applying the Midpoint Theorem
BD is parallel to AE
[tex]BD=\frac{1}{2}AE[/tex]
we have
[tex]BD=35\ units[/tex]
substitute
[tex]35=\frac{1}{2}AE[/tex]
solve for AE
[tex]AE=35(2)\\AE=70\ units[/tex]
