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Construct a rhombus ABCD of side 4.6 cm and ∠BCD = 135°, by using ruler and compasses only.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment BC = 4.6 cm.
  2. At C, draw a ray CX making an angle of 135° and cut off CD = 4.6 cm.
  3. With centres B and D, and radius 4.6 cm draw arcs intersecting each other at A.
  4. Join BA and DA. Then ABCD is the required rhombus.
Construct a rhombus ABCD of side 4.6 cm and ∠BCD = 135°, by using ruler and compasses only. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

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