Construct, if possible, a quadrilateral ABCD given AB = 6 cm, BC = 3.7 cm, CD = 5.7 cm, AD = 5.5 cm and BD = 6.1 cm. Give reasons for not being able to construct it, if you cannot.

Steps of construction:


Step I: Draw AB = 6 cm.



Step II: With A as the center and radius 5.5 cm, draw an arc.


Step III: With B as the center and radius 6.1 cm, draw an arc to intersect the arc drawn in Step II at D.



Step IV: With B as the centre and radius 3.7 cm, draw an arc on the side.


Step V: With D as the centre and radius 5.7 cm, draw an arc to intersect the arc drawn in Step IV at C.


Step VI: Join BD, DA, BC and CD.



ABCD is the required quadrilateral.


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