is AB+BC+CA greater than 2AM?IF AM is the median of triangle ABC

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in triangle ABM

AB +BM >AM [ The sum of 2 sides of a triangle is always greater than the third side] -1

now ,in triangle ACM

AC +CM.>AM [ The sum of 2 sides of a triangle is alwats greater than the third side] -2

adding 1 and 2

AB +BM +AC +CM >AM+AM

ABC >2AM

AB +BC +CA >2AM

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