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In triangle ABM,
AB+BM >AM.....eq1
In triangle ACM
AC+CM>AM.....eq2
By adding two equations
we get
AB+BM+CM+AC >2AM
=AB+BC+AC >2AM
AB+BM >AM.....eq1
In triangle ACM
AC+CM>AM.....eq2
By adding two equations
we get
AB+BM+CM+AC >2AM
=AB+BC+AC >2AM
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