Question

let o be any interior point in triangle abc proove 2(oa+ob+oc)>3abc

Answer 1

Answer:

'O' is any interior point of triangle (ΔABC)

OA+OB>AB …..(1)

(∵ Sum of two sides in a triangle always greater than third side).

Similarly,

OB+OC>BC …..(2)

OA+OC>AC …..(3)

Add, (1),(2),(3)

2(OA+OB+OC)>AB+BC+AC

OA+OB+OC>

2

1

AB+BC+AC