Advertisements
Advertisements
प्रश्न
Construct a parallelogram ABCD, if :
diagonal AC = 6.4 cm, diagonal BD = 5.6 cm and angle between the diagonals is 75°.
Advertisements
उत्तर
The rough figure is as follows.
∵ Diagonals of || gm bisect each other.
∴ OB = OD = `1/2`BD = 2.8 cm.
The actual figure is constructed with the help of the above figure as follows.
Steps :
- Draw AC = 6.4 cm.
- Bisect AC at O.
- Draw ∠XOC = 75° and produce XO to Y.
- Cut OB = OD = 2 8 cm.
- Join AB, BC, AD, and CD.
Thus ABCD is the required ||gm.
APPEARS IN
संबंधित प्रश्न
Construct a parallelogram ABCD, when:
AB = 4.4 cm, AD = 6.2 cm and AC = 4.8 cm.
Construct a parallelogram ABCD, when:
Diagonal AC = 6.4 cm, diagonals BD = 8.2 cm and angle between the diagonals = 60°.
Construct a parallelogram ABCD, when:
AB = 5.8 cm, diagonal AC = 8.2 cm and diagonal BD = 6.2 cm.
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:
AB = 4.5 cm, ∠B = 120° and the distance between AB and DC = 3.0 cm.
Construct a parallelogram ABCD, if :
BC = 4.5 cm, CD = 5.2 cm and ∠ADC = 75°.
Construct a parallelogram ABCD, if :
AD = 4 cm, DC = 5 cm and diagonal BD = 7 cm.
Construct a parallelogram ABCD. Given:
AB = 5.5cm, BC = 3.5cm, ∠B = 75°
Construct a parallelogram PQRS in which PQ = 6.4cm, QR = 4cm and the distance between PQ and SR is 3cm.
