Using ruler and compass only, construct the quadrilateral ABCD, having given AB = $$5$$ cm, BC = $$2.5$$ cm, CD = $$6$$ cm, angle BAD = $$90^{\circ}$$ and the diagonal AC = $$5.5$$ cm.
Steps :
(i) draw AB = 5 cm.
(ii) Now draw $$\angle XAB$$ such that it is $$90^{\circ}$$.
(iii) taking A and B as a ceentre and radus 2.5 cm and 5.5 cm draw arcs cuts off at C.
(iv) Now join BC and AC.
(v) Taking C as a centre and radius 6 cm draw arcs at D on AX.
ABCD is the required quadriateral.