Question

AM is a median of a ΔABC
Is AB + BC + CA > 2AM ?

Please please please explain properly

Answer 1

Heya Princess !
--------------------


Given that ,
---------------

◾AM is a Median Of ∆ABC ,


◾In ∆ABM ,

=> AB + BM > AM ......................(1)


[ As sum of two sides of a Triangle is greater than the third side ]


Again in ∆ACM ,

=> AC + CM > AM.....................(2)


◾Now, Adding Equation (1) and (2) ,

We get ,


=> AB + BM + AC + CM > AM + AM

=> Now, BM + CM = BC


◾Equation becomes ,


=> AB + BC + CA > 2AM.


✔Hence Proved !!

=========================================================

Answer 2

Answer in attachment follow it  Thanks