Question

2. A point o in the interior of ▲abc . use the sysybols <> or= to make the following statements true
a) OA+OB=____ AB
(b) OB+OC=____BC
OA+OC=____AC
Now, show that AB+BC + AC < 2 (OA+OB+OC)​

Answer 1

Step-by-step explanation:

a)OAB is a triangle therefore OA +OB>AB

b) similarly OB+OC>BC

c)OA+OC>AC

adding all inequalities

OA +OB+OB+OC+OA+OC>AB+BC+AC

i.e.

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

Sorry for the bad figure

Answer 2

Answer: a)OA+OB >AB

b)OB+OC >BC

c) ............>AC

OA+OB+OC+OA+OB+OC=AB+BC+AC

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