Answer:
A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.
Step-by-step explanation:
The Triangle Proportionality Theorem states that:
If a line parallel to one side of a triangle intersects the other two sides then it divides those sides proportionally. The segments joining midpoints of the two sides of the triangle will be parallel to the third side and half the length.
This means if a line divides two sides of a triangle proportionally, then it is parallel to the third side.
In this case;
AD/AB =AE/AC is true because;
A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.
The segments{AD,AB,AE,EC] joining the midpoints {D & E} of the two sides {AB & AC} of the triangle will be parallel to the third side BC and half the length.
