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Using ruler and compasses only, construct rhombus ABCD with sides of length 4 cm and diagonal AC of length 5 cm. Measure ∠ABC.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment AC = 5 cm.
  2. With centre A and C and radius 4 cm, draw arcs intersecting each other above and below AC at D and B.
  3. Join AB, BC, CD, DA and BD. The ABCD is the required rhombus.
Using ruler and compasses only, construct rhombus ABCD with sides of length 4 cm and diagonal AC of length 5 cm. Measure ∠ABC. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

On measuring, ∠ABC = 78°.

Hence, ∠ABC = 78°.

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