Question

Construct a rectangle PQRS whose diagonal PR = 6 cm and the angle between the
diagonals is 30°​

Answer 1

⇒ Draw line segment BD=5.8cm

⇒ Draw a perpendicular bisector PQ of the line segment BD intersecting BD at point O.

⇒ Draw a line XY passing through point O making an angle 50

o

with BD.

⇒ Diagonals of a rectangle bisect each other.

⇒ Hence, take O as the center and radius=2.9, cut two arcs on both sides of point O cutting line XY at points A and C.

⇒ Join AB,CD,BC and AD.

⇒ ABCD is the required rectangle.