Mathematics
Using ruler and compasses only, construct a rectangle each of whose diagonals measure 6 cm and the diagonals intersect at an angle of 45°.
Rectilinear Figures
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Answer
Steps of construction :
Draw a line segment AC = 6 cm.
Bisect AC at O.
At O, draw a ray XY making an angle of 45° at O.
From XY, cut off OB = OD = = 3 cm each.
Join AB, BC, CD and DA.
Hence, ABCD is the required rectangle.
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