Question

Am is a medium of triangle ABC,is AB+BC+CA>2 AM?​

Answer 1

Answer:

We know,

In a triangle sum of two sides is greater than the third side

Hence,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

AB + AC + BC > 2AM