Mathematics
Construct a parallelogram ABCD, if :
AD = 4 cm, DC = 5 cm and diagonal BD = 7 cm.
Answer
Steps:
Draw AD = 4 cm.
Taking D as centre, draw an arc of radius 7 cm (= diagonal BD) and taking A as centre draw one more arc of radius 5 cm (= AB). Let the two arcs intersect at point B. Join A and B.
Taking B as centre, draw an arc of radius 4 cm (= BC) and taking D as centre draw one more arc of radius 5 cm (= DC). Let the two arcs intersect at point C.
Join DC and BC.

Hence, ABCD is the required parallelogram.
Related Questions
Construct a parallelogram ABCD, if :
AB = 3.6 cm, BC = 4.5 cm and ∠ABC = 120°.
Construct a parallelogram ABCD, if :
BC = 4.5 cm, CD = 5.2 cm and ∠ADC = 60°.
Construct a parallelogram ABCD, if :
diagonal AC = 6.4 cm, diagonal BD = 5.6 cm and angle between the diagonals is 75°.
Construct a rectangle ABCD; if:
AB = 4.5 cm and BC = 5.5 cm.