1.

Let ABCD be a quadrilateral with diagonals AC and BD. Prove the following statements (Compare these with the previous problem);(a) AB + BC + CD > AD;(b) AB + BC + CD + DA > 2AC;(c) AB + BC + CD + DA > 2BD;(d) AB + BC + CD + DA > AC + BD.

Answer»

Let ABCD be a quadrilateral with diagonals AC and BD. Prove the following statements (Compare these with the previous problem);



(a) AB + BC + CD > AD;



(b) AB + BC + CD + DA > 2AC;



(c) AB + BC + CD + DA > 2BD;



(d) AB + BC + CD + DA > AC + BD.





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