In a `triangle ABC,` AD is the median drawn on the side BC is produced to E such that `AD= ED.` prove that ABEC is a parallelograms.

In a Delta ABC , BD is the median to the side AC, BD is produced to E such that BD = DE. Prove that : AE is parallel to BC.

In a triangle ABC median AD is produced to X such that AD=DX. Prove that ABXC is a parallelogram.

In a DeltaABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.

In a triangle ABC,D is the mid - point of BC, AD is produced upto E so that DE = AD. Prove that : AB=EC

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

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

In a triangle ABC, D is mid-point of BC; AD is produced upto E so that DE = AD Prove that: (i) triangle ABD and triangle ECD are congruent. (ii) AB = EC. (ii) AB is parallel to EC

In Delta ABC , AD is the median and PQ || BC . Prove that PE = EQ

Any point D is taken on the side BC of a Delta ABC and AD is produced to E such that AD = DE , prove that area of Delta BCE = area of Delta ABC ,

In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that : AD = CE.