Using ruler and compass only, construct a ∆ABC such that BC = 5 cm

Using ruler and compass only, construct a ∆ABC such that BC = 5 cm and AB = 6.5 cm and ∠ABC = 120°

i. Construct a circum-circle of ∆ABC
ii. Construct a cyclic quadrilateral ABCD, such that D is equidistant from AB and BC.

Answer

Construction of ∆ABC
Construction of side bisectors of sides AB and BC
and draw circle
Angle bisector of angle B
Cyclic quadrilateral ABCD