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प्रश्न
Construct a parallelogram ABCD, if :
lengths of diagonals AC and BD are 5.4 cm and 6.7 cm respectively and the angle between them is 60°.
उत्तर
Steps :
- Draw BD 6.7 cm.
- Bisect BD at O.
- At O, draw ∠XOD = 60° and produce XO to Y.
- Cut OA = OC = 2.7 cm (half the diagonals 5.4 cm)
- Join AB, AD, BC, and CD.
Thus ABCD is the required ||gm.
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संबंधित प्रश्न
Draw parallelogram ABCD with the following data:
AB = 6 cm, AD = 5 cm and ∠DAB = 45o.
Let AC and DB meet in O and let E be the mid-point of BC. Join OE.
Prove that:
(i) OE // AB
(ii) OE = `1/2` AB.
The perpendicular distance between the pair of opposite sides of a parallelogram are 3 cm and 4 cm, and one of its angles measures 60o. Using a ruler and compasses only,
construct the parallelogram.
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Construct a parallelogram ABCD, when:
AB = 6.0 cm, AD = 5.0 cm and ∠A = 45°.
Using ruler and compasses only, construct a parallelogram ABCD using the following data: AB = 6 cm, AD = 3 cm and ∠DAB = 45o. If the bisector of ∠DAB meets DC at P,
prove that ∠APB is a right angle.
Construct a parallelogram ABCD, when:
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Construct a parallelogram ABCD, when:
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Construct a parallelogram ABCD, if :
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Construct a parallelogram ABCD, if :
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Construct a parallelogram PQRS in which PQ = 6.4cm, QR = 4cm and the distance between PQ and SR is 3cm.
