ABCD is a trapezium with AB∥DC. E and F are points on non-parallel sides AD and BC respectively such that EF∥AB. Then, AEED=BFFC.
Let us join AC to intersect EF at G
AB∥DC and EF∥AB
[Lines parallel to the same line are parallel to each other]
Now, in ΔADC,
⇒AEED=AGGC.....(1) [Basic proportionality Theorem]
Similarly, from ΔCAB,
Therefore, from (1) and (2),