Question

Construct a quadrilateral ABCD, when AB = 5 cm, BC = 4.5 cm, CD = 6 cm, AD = 4.2 cm, AC = 5.6 cm

Answer 1

Given:

• AB = 5 cm
• BC = 4.5 cm
• CD = 6 cm
• AD = 4.2 cm
• AC = 5.6 cm

Step of construction:

1. Construct triangle ABC using the three sides AB = 5 cm, BC = 4.5 cm and diagonal AC = 5.6 cm.

   • Draw line BC = 4.5 cm.
   • With B as center and radius AB = 5 cm, draw an arc.
   • With C as center and radius AC = 5.6 cm, draw another arc to intersect the previous arc at A.
   • Join A to B and A to C.

2. Locate point D:

   • With A as center and radius AD = 4.2 cm, draw an arc.
   • With C as center and radius CD = 6 cm, draw another arc to intersect the previous arc at D.

3. Join D to A and D to C.

The quadrilateral ABCD thus formed with the given sides and diagonal is the required quadrilateral.