Construct a quadrilateral ABCD given AD=3.5cm, BC=2.5 cm, CD=4.1 cm, AC=7.3 cm, and BD=3.2 cm.

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Solution

(i) Draw a line segment CD=4.1 cm.
(ii) With centre C and radius 7.3 cm and with centre D and radius 3.5 cm, draw arcs intersecting each other at A.

(iii) Join AC and AD.
(iv) Again with centre C and radius 2.5 cm and with centre D and radius 3.2 cm, draw arcs intersecting each other at B.
(v) Join CB', and DB' and join AB'
Then ABCD is the required quadrilateral.

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