In triangle ABC shown below, side AB is 8 and side AC is 6: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 half the length of segment BC? Segment AD is 3, and segment AE is 4. Segment AD is 3, and segment AE is 6. Segment AD is 4, and segment AE is 6. Segment AD is 4, and segment AE is 3.