In the adjoining figure, ABCD is a quadrilateral and AC is one of its

1.	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.
Answer» 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.

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.

Answer»

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.