Advertisements
Advertisements
Question
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°.
Advertisements
Solution

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.
APPEARS IN
RELATED QUESTIONS
Construct a parallelogram ABCD, when:
AB = 4.4 cm, AD = 6.2 cm and AC = 4.8 cm.
Construct a parallelogram ABCD, when:
AB = 6.0 cm, AD = 5.0 cm and ∠A = 45°.
Construct a parallelogram ABCD, when:
Base AB = 6.5 cm, BC = 4 cm and the altitude corresponding to AB = 3.1 cm.
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 :
AB = 3.6 cm, BC = 4.5 cm and ∠ABC = 120°.
Construct a parallelogram ABCD, if :
AB = 5.8 cm, AD = 4.6 cm and diagonal AC = 7.5 cm.
Using ruler and compasses only, construct a parallelogram ABCD, in which : AB = 6 cm, AD = 3 cm and ∠DAB = 60°. In the same figure draw the bisector of angle DAB and let it meet DC at point P. Measure angle APB.
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 ABCD in which AB = 4.5cm, ∠A = 105° and the distance between AB and CD is 3.2cm.
