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Mathematics

BC = 7.5 cm, AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120°.

Rectilinear Figures

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Answer

Steps of construction :

  1. Draw a line segment AD = 3.6 cm.

  2. Through A, draw AP such that ∠A = 120°.

  3. With D and A as centers and radii 4.2 cm and 5.8 cm respectively, draw arcs cutting each other at C. Join AC and CD.

  4. With C as center and radius 7.5 cm draw an arc cutting AP at B.

  5. Join AB and BC.

BC = 7.5 cm, AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120°. Construction of Polygons, Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required quadrilateral.

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