AM is a median of triangle ABC prove that AB+BC+CA>2 AM
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IF AM IS MEDIAN THEN BM =MC
THEN
IN TRIANGLE ABM
AB+BM>AM. EQ1
IN TRIANGLE ACM
BC+CM>AM. EQ2.
ADD EQ1 AND EQ2
RESULTANT. =>. AB+BM+BC+CM>2AM
HENCE AB +BC+CA>2AM. (BM+CM=BC)
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