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Mathematics

AB = 6.0 cm, AD = 5.0 cm and ∠A = 45°.

Rectilinear Figures

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Answer

In parallelogram,

Opposite sides are equal.

∴ BC = AD = 5.0 cm and CD = AB = 6.0 cm

Steps of construction :

  1. Draw a line segment AB = 6.0 cm.

  2. Draw AP, such that ∠A = 45°.

  3. With A as center and radius equal to 5 cm draw an arc cutting AP at D.

  4. With B and D as centers and radii 5.0 cm and 6.0 cm respectively, draw arcs cutting each other at C.

  5. Join BC and CD.

AB = 6.0 cm, AD = 5.0 cm and ∠A = 45°. Construction of Polygons, Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required parallelogram.

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