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if O is a point within a quadrilateral ABCD , show that OA+OB+OC+OD>AC+BD
Asked by gspublicschool | 08 Sep, 2018, 06:04: AM

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
Answered by Sneha shidid | 12 Sep, 2018, 11:33: AM

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