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Using ruler and compasses only, construct a parallelogram ABCD with AB = 6 cm, altitude = 3.5 cm and side BC = 4 cm. Measure the acute angles of the parallelogram.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw AB = 6 cm.
  2. At B, draw BP ⊥ AB.
  3. From BP, cut BE = 3.5 cm = height of || gm.
  4. Through E draw QR parallel to AB.
  5. With B as centre and radius = 4 cm draw an arc which cuts QR at C.
    Since, opposite sides of || gm are equal.
    So, AD = BC = 4 cm
  6. With A as centre and radius = 4 cm draw an arc which cuts QR at D.
  7. Join AD, BC and CD. Then ABCD is the required parallelogram.
Using ruler and compasses only, construct a parallelogram ABCD with AB = 6 cm, altitude = 3.5 cm and side BC = 4 cm. Measure the acute angles of the parallelogram. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

On measuring the acute angle of parallelogram it is equal to 61°.

Hence, acute angle = 61°.

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