Constuct a rectangle ABCD whose diagonal4.5 cm and the angle between the diagonal is 75 degree
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Answer:
⇒ Draw line segment AC=8cm
⇒ Draw a perpendicular bisector PQ of the line segment AC intersecting AC at point O.
⇒ Draw a line XY passing through point O making an angle 45
o
with AC.
⇒ Diagonals of a rectangle bisect each other.
⇒ Hence, take O as the center and radius=4cm, cut two arcs on both sides of point O cutting line XY at points B and D.
⇒ Join AB,CD,BC and AD.
⇒ ABCD is the required rectangle.
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