Home
Class 9
MATHS
In the adjoining figure, ABCD is a quadr...

In the adjoining figure, ABCD is a quadrilateral and AC is one of its diagonals. Prove that
(i) `AB+BC+ CD+DA gt 2AC `
(ii) `AB +BC+CD gt DA`
(iii) `AB+BC+CD+DA gt AC+ BD.`

Promotional Banner

Similar Questions

Explore conceptually related problems

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)

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)

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

ABCD is a quadri,aterial prove that (AB+BC+CD+DA)gt(AC+BD)

In the adjoining figure, x gt y , Prove that AB gt AC

If the sides of a quadrilateral ABCD touch a circle prove that AB+CD=BC+AD.

If ABCD is a quadrilateral in which AB|CD and AD=BC, prove that /_A=/_B.

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

ABCD is a quadrilateral.Is AB+BC+CD+DA>AC+BD?

In quadrilatcal ABCD,prove that AB+BC+CD+AD<2(BD+AC)