Construct a quadrilateral ABCD in which AB=4.5cm,BC=5cm,CD=4cm,DA=5.5cm and AC=7.5cm.
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Steps of construction are given below :
⇒ Draw line segment BC of length 4.5cm.
⇒ With C as a center and radius CD = 5cm draw an arc.
⇒ With B as a center and radius BD = 7cm draw an arc intersecting the previous arc at D.
⇒ Again with C as the center and 5.5cm as a radius draw an arc.
⇒ Then with D as the center and 5.5cm as radius, draw an arc intersecting the point at A.
⇒ Join AB, AD, CD, BD, and AC.
Thus, ABCD is a required quadrilateral.
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