Question

AM is a median of a triangle ABC. is AB + BC + CA > 2AM (consider the sides of traingle ABM AND AMC.

Answer 1

Answer:

Yes AB + BC + CA IS GREATER THAN 2AM

Step-by-step explanation:

IN TRAINGLE ABM:-

AB + BM IS GREATER THAN AM -- EQ. 1

IN TRAINGLE AMC:-

AC + MC IS GREATER THAN AM -- EQ. 2

ADDING EQ. 1 & 2:-

AB + BM + AC + MC IS GREATER THAN AM + AM

AB + BC + AC IS GREATER THAN 2AM

HENCE PROVED!!