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Question
Construct a rectangle ABCD with one diagonal AC = 5.8cm and the acute angle between the diagonals is equal to 45°.
Solution
Steps of Construction:
1) Draw AC= 5.8cm and locate its mid-point O.
2) Draw line BOD such that ∠DOC = 45° and OB = OD = `(1)/(2)"BD" = (1)/(2) xx 5.8"cm"` = 2.9cm.
3) Join AB, BC, CD and DA.
4) ABCD is the required rectangle.
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