Question

construct a square parallelogram whose two diagonals are 7.6 cm and 6.2 and the angle between them is 60°​

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 = 7.6

(ii) Bisect AC at O.

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

(iv) Set off OB = 1/2 (7.6) = 3.8and OD = 1/2 (6.2) = 3.1cm as shown.

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

Then, ABCD is the required parallelogram

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