Construct a quadrilateral ABCD in which AB = 4.4 cm, BC = 4 cm, CD = 6.4 cm, DA = 3.8 cm and BD = 6.6 cm.

Steps of Construction:


Step I: Draw BD = 6.6 cm.



Step II: With B as the center and radius BC = 4 cm, draw an arc.


Step III: With D as the center and radius 6.4 cm, draw an arc to intersect the arc drawn in Step II at C.



Step IV: With B as the center and radius 4.4 cm, draw an arc opposite to that of C.


Step V: With D as the center and radius 3.8 cm, draw an arc to intersect the arc drawn in Step IV at A.



Step VI: Join BA, DA, BC and CD. ABCD is the required quadrilateral.



1