The length of the median passing through vertex A of a triangle ABC in which AB=c, BC= a, CA=b is
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The sum of measuers of any two sides of triangle is greater than the third side.
So,in triangle ABM
AB + BM>AM..........(1)
In triangle AMC
MC+AC>AM.........(2)
Add (1) and(2)
AB+(BM+MC)+ AC>AM+AM +AB+BC+ AC>2AM.
So,the statement is true.......☺️
Hope it's helpful for you dear.........☺️
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