Question

Construction of quadrilaterals when four sides and one angle are given: 5.Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4cm, CD = 4.5 cm, AD = 5cm and $\angle B={80}^{\circ }.$

Answer 1

First we draw a rough sketch of quadrilateral ABCD and write down its dimensions, as shown.(Rough Sketch) $\to$
Steps of Construction:

Step 1: Draw AB = 3.8 cm.
Step 2: Make $\angle ABX={80}^{\circ }.$
Step 3: From B, set off BC = 3.4 cm.
Step 4: With A as center and radius equal to 5 cm draw an arc.
Step 5: With C as center and radius equal to 4.5 cm, draw another arc, cutting the previous arc at D.
Step 5: Join AD and CD.
Then ABCD is the required quadrilateral.