Step-by-step explanation:
We will prove the converse of the postulate,
"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"
Segment DE intersects AB and BC at D and E respectively,
Ratio of the segments of two sides,
![\frac{AD}{DB}=\frac{CE}{EB}](/tpl/images/1232/2036/c0fc1.png)
![\frac{22.5}{15}=\frac{24}{40-24}](/tpl/images/1232/2036/c786a.png)
1.5 = 1.5
True.
Therefore, lines AC and DE are parallel.