#### 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.

#### 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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Solution 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. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.