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Construct a rectangle ABCD; if :

each diagonal is 5.5 cm and the angle between them is 60°.

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#### Solution

Steps :

- Draw AC = 5.5 cm.
- Bisect AC at O.
- At O, draw ∠XOC = 60° and produce XO to Y.
- Cut OB = OA and OD = OA (half the diagonal AC).
- Join AB, BC, AD, and CD.

Thus ABCD is the required rectangle.

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