Construct a rhombus whose one side is 4.5 cm and one diagonal is 5 cm.

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Solution

Steps of Construction:
(i) Construct AB = 4.5 cm.
(ii) Taking A as centre and 4.5 cm radius, construct an arc.
(iii) Taking B as centre and 5 cm radius, construct an arc which meets the previous arc at D.
(iv) Taking B as centre and 4.5 cm radius, construct an arc.
(v) Taking D as centre and 4.5 cm radius, construct an arc which meets the previous arc at point C.
(vi) Now join AD, BC and CD.
Therefore, ABCD is the required rhombus.

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