Question

Construct the quadrilateral with the measurements given below :

Quadrilateral GOLD: OL = 7.5 cm, GL = 6 cm, LD = 5 cm, DG = 5.5 cm and OD = 10 cm.

Answer 1

In a quadrilateral GOLD, Rough Diagram

OL = 7.5 cm, GL = 6 cm

LD = 5 cm, DG = 5.5 cm, OD = 10 cm

Rough Diagram

Construction Steps:

1. Draw a line segment  \(\overline{OL}\) equal to radius 7.5 cm. 

2. With the centres O, L draw arcs with radius 10 cm and 5 cm respectively. These two arcs meet at point ‘D’. 

3. With the centres L, D draw arcs equal to 6 cm and 5.5 cm respectively. These two arcs meet at point ‘G’. 

4. Join O, G and L, G. Also join O, D and L, D and G, D. 

5. ∴ The required quadrilateral GOLD is formed.