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`ABCD` is quadrilateral. Is `AB+BC+CD+DA < 2(AC+BD) ?` |
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Answer» `In/_AOB` OA+OB>AB-(1) `In/_AOD` OA+OD>AD-(2) `In/_BOC` OB+OC>BC-(3) `In/_COD` OD+OC>CD-(4) From Equation 1,2,3and 4 2(AC)+2(BD)>AB+BC+CD+DA 2(AC+BD)>AB+BC+CD+DA. |
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