In Fig. ABCD is a trapezium in which AB||DC. Prove that ar(Δ AOD) =

1.	In Fig. ABCD is a trapezium in which AB\|\|DC. Prove that ar(Δ AOD) = ar(Δ BOC).
Answer» Given that, ABCD is a trapezium with AB ‖ DC To prove : Area (ΔAOD) = Area (ΔBOC) Proof : Since, ΔABC and ΔABD are on the same base AB and between the same parallels AB and DC Therefore, Area (Δ ABC) = Area (Δ ABD) Area (Δ ABC) – Area (Δ AOB) = Area (ΔABD) – Area (Δ AOB) Area (Δ AOD) = Area (Δ BOC) Hence, proved

In Fig. ABCD is a trapezium in which AB||DC. Prove that ar(Δ AOD) = ar(Δ BOC).

Answer»

Given that,

ABCD is a trapezium with AB ‖ DC

To prove :

Area (ΔAOD) = Area (ΔBOC)

Proof :

Since,

ΔABC and ΔABD are on the same base AB and between the same parallels AB and DC

Therefore,

Area (Δ ABC) = Area (Δ ABD)

Area (Δ ABC) – Area (Δ AOB)

= Area (ΔABD) – Area (Δ AOB)

Area (Δ AOD) = Area (Δ BOC)

Hence, proved