Q14 of 95 Page 15

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 =


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