Construct a rectangle with the length of its diahonal 5.7 and the angle between the side and the diagonal is 30°
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Step-by-step explanation:
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.
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