Construct a Parallelogram Whose Diagonal Is 5.4cm and 6.2 and an Angle Between Them Is 70.
Question: Construct a parallelogram whose diagonal is 5.4cm and 6.2 and an angle between them is 70.
Answer: The construction of the parallelogram is discussed below.
Let's follow the step of construction.
In a parallelogram, diagonals bisect each other.
The following are the steps of construction to draw a parallelogram ABCD with the given parameters:
- Draw AC = 5.4 cm.
- Construct perpendicular bisector of AC i.e., Bisect AC at O.
- Draw ∠COX = 70° and produce XO to Y.
- OB = 1/2 diagonal BD = 1/2 (6.2) = 3.1 cm and OD = 1/2 (6.2) =3.1 cm as shown.
- Join AB, BC, CD, and DA.