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Question
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
\[\text { Steps of construction: } \]
\[\text { Step I: Draw AC = 6 cm }. \]
\[\text { Step II: With A as the centre and radius 3 . 8 cm, draw an arc } . \]
\[\text { Step III : With C as the centre and radius 3 . 0 cm, draw an arc to intersect the arc drawn in Step II at B }. \]
\[\text { Step IV: With B as the centre and radius 3 . 8 cm, draw an arc on the other side of AC }. \]
\[\text { Step V : With A as the centre and radius 2 . 3 cm, draw an arc to intersect the arc drawn in Step IV at D }. \]
\[\text { Step VI: Join BA, DA, BC and CD to obtained the required quadrilateral }.\]
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