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

In a quadrilateral ABCD, show that (AB+BC+CD+DA)gt(AC+BD) .

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

Show that in a quadrilateral ABCD AB+BC+CD+DA gt AC + BD

Show that in a quadrilateral ABCD AB+BC+CD+DA gt AC + BD

O is any point inside a rectangle ABCD, Prove that OA^(2) + OC^(2)= OB^(2) + OD^(2)

A point O lies inside a DeltaABC . Show that OA+OB+OC gt (1)/(2)(AB+BC+CA) .

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

In fig., O is a point in the interior of a triangle ABC, OD bot BC, OE bot AC and OF bot AB. Show that:- OA^2+OB^2+OC^2-OD^2-OE^2-OF^2=AF^2+BD^2+CE^2 .

O is any point inside a rectangle ABCD. Prove that OB^2+OD^2=OA^2+OC^2 .

O is any point inside a rectangle ABCD. Prove that OB^(2)+OD^(2)=OA^(2)+OC^(2) . DEDUCTION In the given figure, O is a point inside a rectangle ABCD such that OB=6cm, OD=8 cm and OA=5 cm, find the length of OC.