Question

construct a parallelogram whose diagonals are 5.4 cm and 6.2 cm and an angle between them is 70 dgrees

Answer 1

We know that the diagonals of a parallelogram bisect each other.
So, we may proceed according to the steps given below.

Steps of Construction:

(i) Draw AC = 5.4 cm.

(ii) Bisect AC at O.

(iii) Make ∠COX = 70° and produce XO to Y.

(iv) Set off OB = 1/2 (6.2) = 3.1 cm and OD = 1/2 (6.2) =3.1 cm as shown.

(v) Join AB, BC, CD and DA.


Then, ABCD is the required parallelogram.

Answer 2

Thank you for asking this question. Here is your answer:

We know that the diagonals of a parallelogram bisect each other.

Steps:

1) Draw AC = 5.4 cm  

2) Bisect AC at O.  

3) Make ∠COX = 70° and produce XO to Y.  

4) Set off OB = 1/2 (6.2) = 3.1 cm and OD = 1/2 (6.2) =3.1 cm

5) Join AB, BC, CD and DA.

If there is any confusion please leave a comment below.