The Total solution for NCERT class 6-12
DiagonalsAC and BD of a trapezium ABCD with AB || DC intersect each other at O. Provethat ar (AOD) = ar (BOC).
It can be observed thatΔDAC 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)