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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Set off OB = $\frac{1}{2} (6.2)$ = 3.1 cm and OD = $\frac{1}{2} (6.2)$ = 3.1 cm as shown.

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

Join AB, BC, CD, and DA.

ABCD is the required parallelogram.

answer is B.

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Detailed Solution

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 = $\frac{1}{2} (6.2)$ = 3.1 cm and OD = $\frac{1}{2} (6.2)$ = 3.1 cm as shown.

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

Then, ABCD is the required parallelogram.

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