Question

Construct a quadrilateral ABCD; if:

AB = AD = 5cm, BD = 7 cm and BC = DC = 5.5 cm

Answer 1

The rough figure is as follow :

Actual construction is as follows (using the above rough fig.)

Steps :

1. Draw AB = 5 cm.
2. From A & B draw arcs of radii 5 cm and 7cm which intersect at D.
3. From B & D draw arcs of radii 5.5 cm each which intersect at C.
4. Join AD, BD, DC, and BC.
   Thus ABCD is the required quadrilateral.