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)

Using vectors, prove that the parallelogram on the same base and between the same parallels are equal in area.

If a triangle and a parallelogram are on the same base and between the same parallels, then prove that the area of the triangle is equal to half the area of the parallelogram.

Prove that two triangles on the same base and between the same parallels are equal in area.

In the figure, ΔABC and ΔABD are two triangles on the same base AB. If line segment CD is bisected by bar(AB) at O, show that ar (DeltaABC) = ar (DeltaABD).

triangle ABC and triangle DBC are isosceles triangles on the same base BC. Prove that line AD bisects BC at right angles

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

ABCD is parallelogram and ABEF is a rectangle and DG is perpendicular on AB. Prove that (i) ar (ABCD) = ar(ABEF) (ii) ar (ABCD) = AB xx DG

In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

ABC is an isosceles triangle right angled at C. Prove that AB^(2) = 2AC^(2) .

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) .