Question

Construct a quadrilateral ABCD in which AB = 2.7 cm, BC=3.5 cm, CD = 4 cm, AD =6 cm and $\angle B={115}^{\circ }.$

Answer 1

Here, four sides and one angle are given. We first draw the rough sketch. Thus, to draw the quadrilateral ABCD, we follow the following steps.

Steps of constructions:

Step I: Draw AB=2.7cm.

Step II: Construct $\angle ABX={115}^{\circ }$

Step III: With B as center and radius BC=3.5, cut off BC=3.5cm along BX.

Step IV: Join AC

Step V: With A as center and radius AD=6cm draw an arc.

Step VI: With C as center and radius CD=4cm draw an arc to cut the arc drawn in step V at D.

Step VII: Join CD and AD.

The quadrilateral ABCD so obtained is the required quadrilateral .