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Mathematics

Using ruler and compasses only, construct a parallelogram ABCD with AB = 5.1 cm, BC = 7 cm and ∠ABC = 75°.

Rectilinear Figures

Answer

Steps of construction:

  1. Draw a line segment BC = 7 cm.
  2. At B, construct ∠CBX = 75°.
  3. With B as center and radius 5.1 cm, draw an arc intersecting BX at A.
  4. With A as center and radius 7 cm, draw an arc.
  5. With C as center and radius 5.1 cm, draw an arc to meet the previous arc at D.
  6. Join AD and CD. Then ABCD is the required parallelogram.
Using ruler and compasses only, construct a parallelogram ABCD with AB = 5.1 cm, BC = 7 cm and ∠ABC = 75°. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

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