Question

If a point M lies anywhere between b and c in a triangle ABCPROVE that AB+BC+CA>2AM

Answer 1

Answer:

ABC is triangle

M lies between B and C

join AM

now you will get two triangle

one is ABM

another one AMC

we know that

sum of two sides of a triangle must be greater than the third side

in triangle ABM

AB + BM > AM

in triangle MAC

AC + MC > AM

so ad find two equations

we get

AB + (BM + MC) +CA > 2AM

AB + BC+CA > 2 AM