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Mathematics

AB = 4.5 cm, ∠B = 120° and the distance between AB and DC = 3.0 cm.

Rectilinear Figures

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Answer

Steps of construction :

  1. Draw a line segment AB = 4.5 cm.

  2. At B, draw BP ⊥ AB.

  3. From BP, cut BE = 3 cm.

  4. Through E draw a perpendicular to BP to get QR parallel to AB.

  5. Draw BY, such that ∠B = 120°.

  6. Let BY intersect QR at C.

  7. With A as center and radius = BC, draw an arc cutting QR at D.

  8. Join AD, BC and CD.

AB = 4.5 cm, ∠B = 120° and the distance between AB and DC = 3.0 cm. Construction of Polygons, Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required parallelogram.

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