Advertisements
Advertisements
Question
Construct a parallelogram ABCD. Given:
AB = 3.5cm, AC = 4cm and BD = 5.2cm
Advertisements
Solution
AB = 3.5cm, AC = 4cm and BD = 5.2cm
Steps of construction:
1) Since diagonals of a parallelogram bisect each other; construct triangle OBC, such that:
OB = `(1)/(2)"BD" = (1)/(2) xx 5.2"cm"` = 2.6cm
OC = `(1)/(2)"AC" = (1)/(2) xx 4"cm"` = 2cm
And AB = 3.5cm.
2) Produce AO up to C, such that AO = OC = 2cm
3) Join BC, AD and CD.
4) ABCD is the required parallelogram.
RELATED QUESTIONS
Construct a parallelogram ABCD, when:
AB = 4.4 cm, AD = 6.2 cm and AC = 4.8 cm.
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.
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:
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, when:
Base BC = 5.6 cm, diagonal BD = 6.5 cm and altitude = 3.2 cm.
Construct a parallelogram ABCD, if :
AB = 5.8 cm, AD = 4.6 cm and diagonal AC = 7.5 cm.
Construct a parallelogram ABCD, if :
diagonal AC = 6.4 cm, diagonal BD = 5.6 cm and angle between the diagonals is 75°.
Construct a parallelogram ABCD, if :
lengths of diagonals AC and BD are 6.3 cm and 7.0 cm respectively, and the angle between them is 45°.
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.
