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Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°. - Mathematics

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Question

Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.

Geometric Constructions

Solution

As, we know that, in rhombus all sides are equal.

To construct a rhombus whose side is of length 3.4 cm and one of its angle is 45°.

  1. Taking AB = 3.4 cm.
  2. AT point A and B, construct ∠BAM = 45° and ∠TBP = 45°, respectively.
  3. From AM cut off AD = 3.4 cm and from BP cut off BC = 3.4 cm.

    4. Join AD, DC and BC. ABCD is the required rhombus.
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Chapter 11: Construction - Exercise 11.3 [Page 110]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 11 Construction
Exercise 11.3 | Q 8. | Page 110

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