Correct Answer - Option 4 : 1/2 (AB-CD)
Given:
In a trapezium ABCD, if E and F be the midpoints of the diagonals AC and BD respectively
Calculation:
Join CF and product it to meet AB at G.
⇒ Δ CDF ≅ Δ GBF
⇒ CD = GB and CF = GF
Since, E and F are mid points of CA and CG, we have
⇒ EF = 1/2 (AG) = 1/2 = (AB-GB)
⇒ 1/2 (AB-CD)
