Question

Construct a parallelogram GOLF with the diagonals GL = 3.2 cm
OF = 5.4 cm, and the angle between these diagonals is 60°.​

Answer 1

Step-by-step explanation:

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

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