Using ruler and compasses, construct a parallelogram ABCD given that AB = 4 cm, AC = 10 cm, BD = 6 cm. Measure BC.

Steps of construction: 1. Draw a line segment AB = 4 cm. 2. Construct triangle OAB such that OA = x AC = 5cm OB = x BD = 3cm With A as center and radius 5 cm and with centre B and radius 3 cm, draw arcs intersecting each other at O. As, diagonals of || gm bisect each other. 3. Produce AO to C such that OA = OC = 5cm. 4. Produce BO to D such that OB = OD = 3cm. 5. Join AD, BC and CD. Then ABCD is the required parallelogram. On measuring, BC = 7.2 cm. Hence, BC = 7.2 cm.

Use ruler and compasses to construct a parallelogram with diagonals 6 cm and 8 cm in length having given the acute angle between them is 60°. Measure one of the longer sides.

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Using ruler and compasses only, construct a parallelogram ABCD with AB = 5.1 cm, BC = 7 cm and ∠ABC = 75°.

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Using ruler and compasses only, construct a parallelogram ABCD in which AB = 4.6 cm, BC = 3.2 cm and AC = 6.1 cm.

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Using ruler and compasses only, construct a parallelogram ABCD such that BC = 4 cm, diagonal AC = 8.6 cm and diagonal BD = 4.4 cm. Measure the side AB.

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Mathematics

Using ruler and compasses, construct a parallelogram ABCD given that AB = 4 cm, AC = 10 cm, BD = 6 cm. Measure BC.

Rectilinear Figures

Related Questions

Use ruler and compasses to construct a parallelogram with diagonals 6 cm and 8 cm in length having given the acute angle between them is 60°. Measure one of the longer sides.

Using ruler and compasses only, construct a parallelogram ABCD with AB = 5.1 cm, BC = 7 cm and ∠ABC = 75°.

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Using ruler and compasses only, construct a parallelogram ABCD such that BC = 4 cm, diagonal AC = 8.6 cm and diagonal BD = 4.4 cm. Measure the side AB.