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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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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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