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Q.

Below given are the steps of construction of a parallelogram whose diagonals are 5.4 cm and 6.2 cm and the angle between them is 70°. What will be the next step of construction?

 Construct a Parallelogram

Steps Of Construction:

(i) Draw AC = 5.4 cm.
(ii) Bisect AC at O.

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a

Set off OB = 12(6.2) = 3.1 cm and OD = 12(6.2) = 3.1 cm as shown.

b

Make COX = 70° and produce XO to Y.

c

Join AB, BC, CD, and DA.

d

ABCD is the required parallelogram.

answer is B.

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Detailed Solution

 Construct a Parallelogram

Steps to construct the parallelogram:

Step 1- Draw AC = 5.4 cm.

Step 2- Bisect AC at O.

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

Step 4 - Set off OB = 12(6.2) = 3.1 cm and OD = 12(6.2) = 3.1 cm as shown.

Step 5- Join AB, BC, CD, and DA.

Then, ABCD is the required parallelogram.

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