Question

Construct a rectangle whose diagonal is 5 cm and the angle between the diagonal is 50 degree​

Answer 1

Step-by-step explanation:

⇒  Draw line segment BD=5cm

⇒  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° with BD.

⇒  Diagonals of a rectangle bisect each other.

⇒  Hence, take O as the center and radius=2.5 cm , 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.