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Mathematics

Construct a rhombus ABCD in which each side = 6 cm and ∠B = 45°.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment BC = 6 cm.

  2. At B draw BX such that ∠CBX = 45°.

  3. With B as center and radius equal to 6 cm draw an arc cutting BX at A.

  4. Using the same radius taking C and A as centers cut off arcs, which will intersect at D.

  5. Join CD and AD.

Construct a rhombus ABCD in which each side = 6 cm and ∠B = 45°. Chapterwise Revision (Stage 2), Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required rhombus.

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