Triangle ABC and parallelogram ABEF are on the same base, AB as in between the same parallels AB and EF. Prove that ar `(DeltaABC) = 1/2` ar(|| gm ABEF)

Delta ABC and Delta BDC are on the same base BC. Prove that (ar(Delta ABC))/(ar(Delta DBC)) =(AO)/(DO)

In, ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

In the given figure, ABC and ABD are two triangles on the same base AB . If line - segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD)

Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

In the figure given below, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O , show that (ar(Delta ABC))/(ar(Delta DBC)) = (AO)/(DO) .

Parallelogram ABCD and rectangle ABEF are on the base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

In Fig , ABC and DBC are two triangles on the same base BC. If AD intersects BC,at O , show that (ar(ABC))/(ar(DBC))=(AO)/(DO)

ABCD is a trapezium with AB || DC,. A line parallel to AC interseets AB at X and BC at Y. Prove that ar (ADX) = ar (ACY)

In Delta ABC , DE || BC and CD || EF . Prove that AD^(2) = AF xx AB