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

The given figure shows a quadrilateral ABCD. Prove that : AB+BC+CD+DA gt AC+BD

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.

In the figure, diagonals AC and BD of quadrilateral ABCD intersect at 0 such that OB = OD. If AB = CD, then show that DA I I CB or ABCD is a parallelogram.

If AC and BD are the diagonals of a quadrilateral ABCD, prove that its area is equal to 1/2 |vec (AC) xx vec (BD)| .

In a quadrilateral ABCD, bar(AC) bot bar(BD) and AB=AD. ABCD is a ________