Mathematics

Using ruler and compasses only, construct a rectangle each of whose diagonals measures 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 = $\dfrac{6}{2}$ = 3 cm each.
Join AB, BC CD and DA. Then ABCD is the required rectangle.

Using ruler and compasses only, construct a rectangle each of whose diagonals measures 6 cm and the diagonals intersect at an angle of 45°. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

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