Advertisements
Advertisements
Question
Construct a parallelogram ABCD, if :
AB = 3.6 cm, BC = 4.5 cm and ∠ABC = 120°.
Advertisements
Solution
The rough figure is as follow :

The above rough figure is used to construct the actual ||gm as follow :

Steps :
- Draw AB = 3.6 cm.
- Draw BP such that ∠B = 120°.
- Cut BC = 4.5 cm.
- From A, draw an arc of radius 4.5 cm.
- From C, draw an arc of radius 3.6 cm. Which intersects the first arc at D.
- Join AD and CD.
Hence ABCD is the required ||gm.
APPEARS IN
RELATED QUESTIONS
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.
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:
Base BC = 5.6 cm, diagonal BD = 6.5 cm and altitude = 3.2 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, if :
AB = 5.8 cm, AD = 4.6 cm and diagonal AC = 7.5 cm.
Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and ∠DAB = 45°. Draw the perpendicular bisector of side AD and let it meet AD at point P. Also, draw the diagonals AC and BD; and let them intersect at point O. Join O and P. Measure OP.
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.
