Question

Construct a quadrilateral ABCD with AB = 3.5 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 4.0 cm and $\angle B={45}^{\circ }$ [3 MARKS]

Answer 1

Steps : 1 Mark
Construction : 2 Marks

Steps of Construction:
1. Draw a line segment BC = 4 cm
2. At B , construct $\angle PBC={45}^{\circ }$ and from from BP cut an arc radius 3.5 cm. i.e., BA = 3.5 cm.
3. With A and C as centres and radii 4 cm and 5 cm respectively draw two arcs which intersect at point D.
4. Join AD and CD
5 ABCD is the required quadrilateral.