Question

Construct a quadrilateral BDEF, where DE = 4.5 cm, EF = 3.5 cm, FB = 6.5 cm, ∠F = 50° and ∠E = 100°.

Answer 1

Steps of construction: 

Step I: Draw EF = 3 . 5 cm . 

Step II: Construct ∠DEF = 100° at E . 

Step III : With E as the centre and radius 4 . 5 cm, cut off DE = 4 . 5 cm . 

Step IV: Construct ∠EFB = 50° at F . 

Step V : With F as the centre and radius 6 . 5 cm, cut off FB = 6 . 5 cm . 

Step VI: Join BD . 

The quadrilateral so obtained is the required quadrilateral .