If O is a point within a quadrilateral ABCD show that OA+OB+OC+OD>AC+BD
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Step-by-step explanation:
Let ABCD BE A QUADRILATERAL WHOSE DIAGONALS R AC AND BD ABD O ANY POINT WITHIN QUADRILATERAL .
JOIN O WITH A,B,C,D
IN ACO
OA+OC > A.C. ...... ( 1 )
( IN triangle sum of 2 SIDESGREATER than 3rd sides )
similarly in BOD
OB+OD > BD......... (2)
ADDING BOTH EQUATION WE GET
OA+OC +OB+OD> AC+ BD .
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