Mathematics
Construct a rectangle ABCD; if:
each diagonal is 6 cm and the angle between them is 45°.
Answer
Steps:
Draw AC = 6 cm.
Draw the perpendicular bisector of AC to locate the mid-point of AC. Let the perpendicular bisector intersect AC at point O. Therefore, O is the mid-point of AC.
Through O, construct a line POQ so that angle POC = 45°.
From OP cut OD equal to OC (i.e. 3 cm) and from OQ cut OB equal to OA (i.e. 3 cm).
Join AB, BC, CD and DA.
Hence, ABCD is the required rectangle.