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Construct a quadrilateral ABCD in which AB = CD = 5.1 cm, BC = 4.7 cm, DA = 4.2 cm and ∠BCD = 60°.

Rectilinear Figures

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Answer

Steps of constructions :

  1. Draw CD = 5.1 cm.

  2. Draw ∠DCX = 60°.

  3. With C as centre and radius = 4.7 cm, draw an arc, cutting CX at B.

  4. With D as centre and radius = 4.2 cm, draw an arc.

  5. With B as centre and radius = 5.1 cm, draw another arc, cutting the previous arc at A.

  6. Join DA and BA.

Construct a quadrilateral ABCD in which AB = CD = 5.1 cm, BC = 4.7 cm, DA = 4.2 cm and ∠BCD = 60°. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required quadrilateral.

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