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AM is a median of s triangle ABC. Is AB+...

`AM` is a median of s triangle `ABC.` Is `AB+BC+CA > 2AM?` (Consider the sides of triangles `DeltaABM and DeltaAMC.`

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In a triangle sum of two sides is greater than the third side
therefore,In triangle ABM
`AB + BM > AM ` .........1
Also in triangle ACM
`AC + MC > AM` ..........2
Adding equation 1 and 2 we get, `AB + BM + AC + MC > AM + AM`
`AB + AC + (BM + MC) > 2AM`
...
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