Question

Construct a quadrilateral ABCD given that BC = 5.5 cm, AB = 4.5 cm, CD = 4 cm and ∠B = 90॰ and ∠C = 120॰. Also write steps of construction.​

Answer 1

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Steps of construction are given below :

⇒  Draw line segment BC of length 5.5cm.

⇒  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.