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Mathematics

Its one side = 6 cm and ∠A = 60°.

Rectilinear Figures

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Answer

We know that,

Sum of consecutive angles of rhombus = 180°.

∴ ∠A + ∠B = 180°

⇒ 60° + ∠B = 180°

⇒ ∠B = 180° - 60° = 120°.

Steps of construction :

  1. Draw a line segment AB = 6 cm.

  2. At A, construct ∠BAP = 60°.

  3. From AP, cut off AD = 6 cm.

  4. Through D, draw XY parallel to AB.

  5. At B, construct ∠ABQ = 120°, intersecting XY at C.

  6. Join CD.

Its one side = 6 cm and ∠A = 60°. Construction of Polygons, Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required rhombus.

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