Question

Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.

Answer 1

Steps of construction: 

Step I: Draw AB = 3 cm . 

Step II: Construct ∠DAB = 90° at A .

Step III : With A as the centre and radius 5 cm, cut off AD = 5 cm . 

Step IV: Construct ∠ABC = 105° at B . 

Step V : With B as the centre and radius 3 cm, cut off BC = 3 cm . 

Step VI: Join CD . 

The quadrilateral so obtained is the required quadrilateral .