Question

Construct a quadrilateral ABCD in which
AB = 7.2cm, BC = 5.8cm, CD = 6.3cm, AD = 4.3cm and ∠A = 75° 

Answer 1

AB = 7.2cm, BC = 5.8cm, CD = 6.3cm, AD = 4.3cm and ∠A = 75° 

Steps of Construction:
1) Draw a line segment AB = 7.2cm
2) With A as centre draw rays X and Y to make angle 90° and 60° with AB. Then bisect the angle between them to make an angle of 75° with AB.
3) With A as centre and radius 4.3cm cut an arc on line segment making 75° angles wit hAB and mark it as D.
4) With D and B as centres and radii of 6.3 and 5.8cm respectively, draw arcs cutting each other at C.
5) Join DC and BC.
6) ABCD is the required quadrilateral.