Question

AM is a median of a triangle ABC.
Is AB + BC + CA> 2 AM?​

Answer 1

Answer:

n triangle ABM

AB+BM>AM→(1)

In triangle ACM

AC+CM>AM→(2)

adding equation (1) and (2)

AB+AC+(BM+CM)>2AM

⇒AB+AC+BC>2AM

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