Question

Construct a parallelogram ABCD, when:
AB = 5.8 cm, diagonal AC = 8.2 cm and diagonal BD = 6.2 cm.

Answer 1

Steps:
1. Since diagonal of a parallelogram bisect each other, construct OAB such that;

OA = `1/2"AC" = 1/2` x 8.2 cm = 4.1 cm.

OB = `1/2"BD" = 1/2` x 6.2 cm = 3.1 cm.
and AB = 5.8 cm.

2. Produce AO up to C, such that OC = OA = 4.1 cm and BO up to D, such that DO = OB = 3.1 cm.
3. Join AD, DC, and CB.

ABCD is the required parallelogram.