Question

Construct a quadrilateral ABCD in which AB = 4cm, BC = 5cm, CD = 4.5cm,

AD =5 cm and diagonal AC = 7.5cm.​

Answer 1

Step-by-step explanation:

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