ABCD us a quadrilateral. Prove that
AB+BC+CD+DA>AC+BD
ABCD is a quadrilateral Prove that (AB+BC+CD+DA)>(AC+BD)
In the adjoining figure, ABCD is a quadrilateral and AC is one of its diagonals. Prove that
(i) AB + BC + CD + DA > 2AC
(ii) AB + BC + CD > DA
(iii) AB + BC + CD + DA > AC + BD.
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.