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Mathematics

Construct a rhombus ABCD, if :

BC = 4.7 cm and ∠B = 75°.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw BC = 4.7 cm.

  2. At B, construct angle EBC = 75°.

  3. From EB, cut BA = 4.7 cm.

  4. Taking A as centre, draw an arc of radius 4.7 cm (= BC) and taking C as centre draw one more arc of radius 4.7 cm (= BC). Let the two arcs intersect at point D.

  5. Join CD and AD.

Construct a rhombus ABCD, if : Constructions, Concise Mathematics Solutions ICSE Class 8.

Hence, ABCD is the required rhombus.

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