Question

Example 1: Construct a quadrilateral ABCD in which sides AB = 3 cm, BC = 4 cm,
CD = 4.5 cm, AD = 4 cm and AC = 5 cm.​

Answer 1

Step-by-step explanation:

⇒ Draw a line segment AB=3cm

⇒ Take A as center with radius 5cm and draw an arc.

⇒ Take B as center with radius 4cm and draw an arc, which meets previous arc at point C.

⇒ Take A as center with radius 4.5cm and draw an arc.

⇒ Take C as center with radius 3.5cm and draw an arc, which meets previous arc at point D.

⇒ Join AC,BC,CD and AD.

∴ ABCD is a required quadrilateral.