ABC is a triangle. D is a point on AB such that AD=AB and E is a point on AC such that AE= AC. Prove that DE=BC.

Given,

Let P and Q be the mid points of AB and AC respectively

Then, PQ ││BC and PQ=…………….(i)

In ∆APQ, D and E are mid points of AP and AQ resp.

∴DE││PQ , DE= ………….(ii)

From (i) and(ii)

=DE=

= DE =