Question

4.Construct a rectangle whose diagonal is 5 cm and the angle
between the diagonal is 50°
[HINT: USE PROPERTIES OF DIAGONALS OF A RECTANGLE.
FIRST DRAW ONE DIAGONAL. LOCATE ITS MIDPOINT O, WITH
A SCALE. AT O, MAKE AN ANGLE OF 50 DEGREES. THEN
COMPLETE THE SECOND DIAGONAL OF THE SAME LENGTH
AS FIRST AND COMPLETE THE RECTANGLE]​

Answer 1

Answer:

Step-by-step explanation:

⇒ Draw line segment BC=5.8cm

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

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

⇒ 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 D.

⇒ Join AB,CD,BC and AD.

⇒ ABCD is the required rectangle.

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