is a trapezium in which parallel and its diagonals intersect each other at point . show that
Step-1 Construction:
Draw a line passing through and also parallel to
Now,
by Construction
Step-2 Basic Proportionality theorem:
Consider the
Where
According to the basic proportionality theorem
…………………(i)
Now consider
where
According to the basic proportionality theorem
…………….(ii)
From equation (i) and (ii), we get,
⇒
Hence, proved.
Therefore we proved that