Mathematics

Construct a quadrilateral ABCD in which AB = AD = 5.3 cm, BC = CD = 5 cm and diagonal BD = 6.4 cm.

Rectilinear Figures

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Answer

Steps of construction :

  1. Draw AB = 5.3 cm.

  2. Taking A as center, draw an arc of radius 5.3 cm (= AD) and taking B as center, draw one more arc of radius 6.4 cm (= diagonal BD). Let the two arcs intersect at point D.

  3. Taking D as center, draw an arc of radius 5 cm (= CD) and taking B as center, draw one more arc of radius 5cm (= BC). Let the two arcs intersect at point C.

  4. Join DC and BC.

Construct a quadrilateral ABCD in which AB = AD = 5.3 cm, BC = CD = 5 cm and diagonal BD = 6.4 cm. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required quadrilateral.

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