If O is point in the exterior of `triangleABC`,show that `2(OA+OB+OC)gt(AB+BC+CA)`

The point O is outside the angleABC . Show that 2(OA+OB+OC) gt AB+BC+CA .

O is any point in the exterior of a DeltaABC . Prove that 2(OA + OB + OC) > (AB + BC + CA) .

O is any point in the exterior of a DeltaABC . Prove that 2(OA + OB + OC) > (AB + BC + CA) .

If O is a point within a quadrilateral ABCD, show that OA+OB+OC+OD gt AC+BD.

O is any point in the interior of triangleABC such that OB=OC and AB=AC. Show that AO bisects angleA .

O is any point in the interior of ABC .Prove that AB+AC>OB+OCAB+BC+CA>OA+OB+OCOA+OB+OC>(1)/(2)(AB+BC+CA)

If G is the centroid of triangleABC and O is any point in the plane of triangleABC , show that (1) bar(GA)+bar(GB)+bar(GC)=bar(0) (2) bar(OA)+bar(OB)+bar(OC)=3bar(OG) .

If 'O' is any point in the interior of rectangle ABCD,then prove that: OB^2+OD^2=OA^2+OC^2 .

If 'O' is any point in the interior of rectangle ABCD, then prove that : OB^(2) + OD^(2) = OA^(2) + OC^(2)

Let O be any point in the interior of DeltaABC , prove that : AB+BC+CA lt 2 (OA+OB+OC)