Question

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°.

Answer 1

Steps :

1. Draw AC = 6.3 cm.
2. Bisect AC at O.
3. At O, draw ∠XOC = 45° and produce XO to Y.
4. Cut OB = OD = 3.5 cm (half the diagonal 7 cm.)
5. Join AB, CB, AD, and CD. Thus ABCD is the required || gm.