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 able to construct, if you cannot.

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Solution

(i) Draw a line segment BD =6.1 cm.
(ii) With centre B and radius 6 cm, and with centre D and radius 5.5 cm, draw arcs intersecting at A.
(iii) Join AB and AD.
(iv) Again with centre B and radius 3.7 cm and with centre D and radius 5.7 cm, draw two arcs intersecting each other at C below the BD.

(v) Join BC and DC.
Then ABCD is the required quadrilateral.

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