Question

in quadrilateral ABCD . AB is equal to DC if area of triangle ABC is equal to area of triangle ABD prove that ABCD is a parallelogram​

Answer 1

Answer with Step-by-step explanation:

In quadrilateral ABCD

AB=CD

Ar(ABC)=Ar(ABD)

Theorem:When area of two triangles are equal and lies on same base then they will formed between same parallel lines.

By this theorem

AB is parallel to CD.

When one pair of opposite sides of quadrilateral equal and parallel then the quadrilateral is parallelogram.

Hence, ABCD is a parallelogram.

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