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  • Arshad has five measurements of a quadrilateral ABCD. These are AB = 5 cm, ∠A = 50°, AC = 4 cm, BD = 5 cm and AD = 6 cm. Can he construct a unique quadrilateral? Give reasons for your answer.

Arshad has five measurements of a quadrilateral ABCD. These are AB = 5 cm, \angle A = 50\degree , AC = 4 cm, BD = 5 cm and AD = 6 cm. Can he construct a unique quadrilateral? Give reasons for your answer.

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best_answer

No, he cannot construct a unique quadrilateral. The given measurements consist of 2 adjacent sides, the angle between these sides and 2 diagonals. It is not one of the specific combinations to construct a quadrilateral.

Moreover, on trying to construct using these, we find that the vertex C is not fixed and can be varied. Hence, the quadrilateral is not unique.

Posted by

HARSH KANKARIA

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