`triangleABC and triangleDBC` are two triangles on the same base BC. A and D lies on opposite sides of BC. Prove that `(ar(triangleABC))/(ar(triangleDBC))= (AO)/(DO)`

In the adjoining figure, triangle ABC and triangleDBC are on the same base BC with A and D on opposite sides of BC such that ar(triangleABC)=ar(triangleDBC) . Show that BC bisect AD.

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

Triangle ABC and DBC are on the same base BC with A,D on opposite sides of line BC, such that ar(triangleABC) = ar(triangleDBC) . Prove that BC bisects AD.

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) .

In 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 (triangleABC)=ar(triangleABD) .

triangleABC and triangleDBC are two isosceles triangles on the same base BC (see figure). Show that angelABD = angelACD .

In the figure ABC and DBC are two triangles on the same base BC. If AD intersects BC at 0, show that ("Area"(DeltaABC))/("Area"(DeltaDBC))=(AO) /(DO) .

In the given figure, ABC and DBC are two triangles on the same base BC. Prove that (ar(ABC))/(ar(DBC))= (AO)/(DO) .

ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Prove that ar(triangleBED)=(1)/(4)ar(triangleABC) .

In the given figure, 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) .