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5. In a quadrilateral OPQR, show that : (i) sum of its sides > sum of its diagonals, and(ii) sum of its sides < 2 (sum of its diagonals)​

Answer»

2(AB+BC+CD+AD)>2(AC+BD)AB+BC+CD+DA>AC+BDStep-by-step EXPLANATION:CONSIDER a QUADRILATERAL ABCDConsider ΔACDBy TRIANGLE inequality AC2(AC+BD)AB+BC+CD+DA>AC+BD



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