Question

Construct a parallelogram ABCD, when:
Diagonal AC = 6.4 cm, diagonals BD = 8.2 cm and angle between the diagonals = 60°.

Answer 1

Steps:
1. Draw AC = 6.4 cm.
2. Draw line BOD such that ∠DOC = 60° and
OB = OD = `1/2"BD" = 1/2` x 8.2 = 4.1 cm
3. Join AB, BC, CD, and DA.

ABCD is the required parallelogram.