Construct a quadrilateral, ABCD with AB = 3.5 cm, BC = 3.0 cm, AD = 3.8 cm, diagonal AC = 5.0 cm and diagonal BD = 4.5 cm.
[2 MARKS]

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Solution

Steps : 1 Mark
Construction : 1 Mark

Steps of Construction:

1. Construct a $Δ A B C$ with AB = 3.5 cm, BC = 3 cm, AC = 5 cm by SSS method.
2. Construct a $Δ A B D$ with AB = 3.5 cm, AD = 3.8 cm and BD = 4.5 cm by SSS method.
3. Join C and D.
4. ABCD is the required quadrilateral.

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Construct a quadrilateral, ABCD with AB = 3.5 cm, BC = 3.0 cm, AD = 3.8 cm, diagonal AC = 5.0 cm and diagonal BD = 4.5 cm.
[2 MARKS]

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