Question

Constructing a quadrilateral when its 4 sides and a diagonal are given.
1. DEAR = DE = 6cm, EA = 5cm, AR = 5.5cm, RD = 5.2cm, DA=10cm
2. ABCD = AB = 5cm, BC = 4.5cm, CD = 3.8cm, DA=4.4cm and AC= 6.2cm​

Answer 1

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.

solution