In quadrilateral ABCD, side AB is the longest and side DC is the shortest. Prove that :

(i) ∠C > ∠A

(ii) ∠D > ∠B

In triangle ABC, side AC is greater than side AB. If the internal bisector of angle A meets the opposite side at point D, prove that : ∠ADC is greater than ∠ADB.

In isosceles triangle ABC, sides AB and AC are equal. If point D lies in base BC and point E lies on BC produced (BC being produced through vertex C), prove that :

(i) AC > AD

(ii) AE > AC

(iii) AE > AD

Given : ED = EC

Prove : AB + AD > BC.