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Mathematics

Construct a quadrilateral ABCD in which AB = 4.5 cm, BC = 5.2 cm, CD = 5 cm, DA = 4.7 cm and ∠ABC = 75°.

Rectilinear Figures

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Answer

Steps of constructions:

  1. Draw AB = 4.5 cm.

  2. Draw ∠ABX = 75°.

  3. With B as centre and radius = 5.2 cm, draw an arc, cutting BX at C.

  4. With A as centre and radius = 4.7 cm, draw an arc.

  5. With C as centre and radius = 5 cm, draw another arc, cutting the previous arc at D.

  6. Join DC and DA.

Construct a quadrilateral ABCD in which AB = 4.5 cm, BC = 5.2 cm, CD = 5 cm, DA = 4.7 cm and ∠ABC = 75°. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required quadrilateral.

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