In the figure, show that `2(AC+BD) gt AB+BC +CD+ DA`.

In the given figure, prove that (i) CD+DA+ABgtBC (ii) CD+DA+AB+BCgt 2AC.

In Figure,prove that CD+DA+AB+BC>2ACCD+DA+AB+BC>2AC

In DeltaABC, if D is any point on the side BC, show that (AB+BC+AC)gt 2AD.

In a quadrilateral ABCD, show that (AB+BC+CD+DA)gt(AC+BD) .

In a quadrilateral ABCD, show that (AB+BC+CD+DA)lt2(BD+AC).

D is a point on side BC of triangle ABC such that AD = AC (see figure). Show that AB gt AD .

In DeltaABC , if AD is the bisector of angleA , show that AB gt BD and AC gt DC .

In the adjoining figure, ABCD is a quadrilateral. Its diagonals AC and BD intersect at point 'O'. Prove that : (a) AB+BC+CD+DA lt 2(AC+BD) (b) AB+BC+CD+DA gt (AC+BD)

Show that in a quandrilateral ABCD, AB + BC + CD+ DA lt 2 (BD+AC) .

In the figure, chord AB ~= chord CD Prove that , ar AC ~= arc BD