Question

Construct a quadrilateral ABCD, when AB = 3 cm, BC = 5 cm, CD = 4 cm, AC = 6.8 cm, BD = 4 cm

Answer 1

Given:

• AB = 3 cm
• BC = 5 cm
• CD = 4 cm
• AC = 6.8 cm
• BD = 4 cm

Steps of construction:

1. Draw the diagonal AC = 6.8 cm.
2. With A as center and radius AB = 3 cm, draw an arc.
3. With C as center and radius BC = 5 cm, draw another arc intersecting the previous arc. Mark the point of intersection as B.
4. With B as center and radius BD = 4 cm, draw an arc.
5. With C as center and radius CD = 4 cm, draw another arc intersecting the previous arc. Mark the point of intersection as D.
6. Join AB, BC, CD and DA.

The quadrilateral ABCD with sides AB = 3 cm, BC = 5 cm, CD = 4 cm and diagonals AC = 6.8 cm, BD = 4 cm is constructed as required.