Construct a quadrilateral ABCD in which AB = 3.8 cm, BC=3.0 cm, AD=2.3 cm, AC=4.5 cm, and BD =3.8 cm.

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Solution

(i) Draw a line segment AB=3.8 cm.
(ii) Which centre A and radius 2.3 cm and with centre B and radius 3.8cm, draw arcs intersecting each other at D.

(iii) Join AD and BD.
(iv) Again with centre A and radius 4.5 cm, and with centre B and radius 3 cm, draw arcs intersecting each other at C.
(v) Join AC and BC and also CD.
Then ABCD is the required quadrilateral.

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