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Mathematics

Construct a quadrilateral ABCD with ∠B = ∠C = 75°, BC = 6 cm, AB = 4.8 cm and CD = 5 cm.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw AB = 4.8 cm.

  2. Construct angle MBA = 75° and then from MB cut BC = 6 cm.

  3. Draw CP such that ∠C = 75°.

  4. With C as center and radius = 5 cm draw an arc cutting CP at D.

  5. Join A and D.

Construct a quadrilateral ABCD with ∠B = ∠C = 75°, BC = 6 cm, AB = 4.8 cm and CD = 5 cm. Chapterwise Revision (Stage 1), Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required quadrilateral.

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