Question

Diagonals AC and BD of a trapezium ABCD with AB $\parallel$ DC intersect each other at O.then, ar ($△$AOD) = ___.

• A. Area ($△$BOD)
• B. Area ($△$AOD)
• C. None of the above
• D. Area ($△$BOC)

Answer 1

The correct option is D

Area ($△$BOC)

It can be observed that ΔDAC and ΔDBC lie on the same base DC and between the same parallels AB and CD. ∴ Area (ΔDAC) = Area (ΔDBC) ⇒ Area (ΔDAC) − Area (ΔDOC) = Area (ΔDBC) − Area (ΔDOC) ⇒ Area (ΔAOD) = Area (ΔBOC)