Home
Class 9
MATHS
In the adjoining figure, the diagonals A...

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect point O. Prove that :
`AB+BC+CD+DA lt 2(AC+BD)`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Type Question)|10 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect at O. If BO = OD , prove that ar(triangleABC)=ar(triangleADC) .

In the adjoining figure, ABCD is a quadrilateral. Its diagonals AC and BD intersect at point 'O'. Prove that : (a) AB+BC+CD+DA lt 2(AC+BD) (b) AB+BC+CD+DA gt (AC+BD)

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

In Fig 9.25 ,diagonals AC and BD of quadrilateral ABCD intersect at O such that OB= OD.If AB=CD, then show that

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.

In the figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that ar( Delta DOC) = ar( Delta AOB)

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD)=ar(BOC). Prove that ABCD is a trapezium.

In the figur e, diagonals AC and BD of quadrilateral A BCD intersect at 0 such that OB = OD. If AB = CD, then show that ar( Delta DCB) = ar( Delta ACB)

The diagonals AC and BD of a quadrilateral ABCD intersect at point 'O'. If BO = OD, then prove that the areas of Delta ABC and Delta ADC are equal

In the adjoining figure, ABCD is a quadrilateral in which AD ||BC . AC and BD intersect each other at point 'O'. Prove that: area of Delta COD = " area of " Delta ABO