Question

Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4 cm, CD = 4.5 cm, AD = 5 cm and $\angle$B=80${}^o$.

Answer 1

Steps of construction :

1) Draw AB = 3.8 cm.

2) Make $\angle ABX={80}^o$.

3) From B, set off BC = 3.4 cm.

4) With A as center and radius equal to 5 cm draw an arc.

5) With C as center and radius equal to 4.5 cm, draw another arc, cutting the previous arc at D.

6) Join AD and CD.

Thus, ABCD is the required quadrilateral.