Question

In triangle ABC , AD is perpendicular on BC . Prove that AB +AC > 2AD

Answer 1

Answer:

Given : AD is perpendicular on BC.

To prove : AB + AC > 2AD

Proof : In ∆ABD,

AB > AD ------ I

In ∆ACD,

AC > AD ----- II

Adding I and II,

AB+AC > AD+AD

AB + AC > 2AD

Hence Proved.