Explanation:

If point O is in the QUADRILATERAL, then join O to A, B , C and D

Now in triangle OAB

OA+OB>AB ... since sum of two sides is always greater than third

now if we add any term on left hand side the term will be even more greater

so, OA+OB+OC+OD>AB.

Similarly look in the triangle OBC,

OB+OC>BC

now add OA and OD on left hand side

so, OA+OB+OC+OD>BC

All Questions Ask Doubt

ABCD is a Rhombus in which BC = 25cm, AD = 24cm. Find the sum of lengths of the diagonals.

if the diagonal of a parallelogram are equal,then show that it is a rectangle.

In a parallelogram ABCD the diagonals intersect at O. Prove that AO=CO.

Diagonals of a parallelogram intersect each other at point O If AO=5,BO=12 and AB=13 then show that quadrilateral ABCD is a rhombus

Prove that the diagonals of a rhombus are perpendicular to each other.

PQRS is a square. PR and SQ intersect at O. What is the measure of POQ?

ABCD is a square prove that diagonal BD bisects B as well as D.

The lengths of the diagonals of a rhombus are 24 CM and 18 cm respectively. Find the length of each side of the rhombus.

ABCD is a rhombus ABC = 66o. Determine ACD.

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