Construct a quadrilateral XYZT in which XY = XZ = 5.7 cm, YZ = 4.5 cm, ZT = 4.6 cm and XT = 5 cm.

Steps of construction:

1. Draw YZ = 4.5 cm.

2. With Y as centre and radius 5.7 cm draw an arc.

3. With Z as centre and radius 5.7 cm draw another arc, cutting previous arc at X.

4. With X as centre and radius 5 cm, draw an arc.

5. With Z as centre and radius 4.6 cm draw another arc, cutting previous arc at T.

6. Join XT and ZT.

Hence, XYZT is required quadrilateral.