1.

AM is a median of a ∆ABC.Prove that AB+BC+CA>2AM.

Answer»

Answer:

In triangle ABM

AB+ BM > AM…….(1)

In rriangle ACM

AC + CM > AM…….(2)

By ADDING the EQUATION 1 & 2 we get

AB + AC +( BM+CM) > 2AM

where BM +CM = BC ( acc. to FIGURE)

HENCE …. AB + BC + CA > 2 AM

PROVED………..

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