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Using ruler and compasses only construct a rhombus ABCD, given that AB = 5 cm, AC = 6 cm. Measure ∠BAD.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment AB = 5 cm.
  2. With centre A and radius 6 cm, with centre B and radius 5cm, draw arcs intersecting each other at C.
  3. Join AC and BC.
  4. With centre A and C and radius 5cm, draw arcs intersecting each other at D.
  5. Join AD and CD. Then ABCD is the required rhombus.
Using ruler and compasses only construct a rhombus ABCD, given that AB = 5 cm, AC = 6 cm. Measure ∠BAD. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

On measuring, ∠BAD = 106°.

Hence, ∠BAD = 106°.

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