Question

construct a quadrilateral ABCD when AB =4cm, BC=6.5, CD=5.5,AC=8cm,DA=5.4

Answer 1

First we draw a rough sketch of quadrilateral ABCD and write down its dimensions, as shown
We may divide it into two triangles, namely ∆ABC and ∆ACD. (


Steps of Construction:


Step 1: Draw AB = 4.8 cm. 

Step 2: With A as center and radius equal to 6 cm, draw an arc. 

Step 3: With B as center and radius equal to 4.3 cm, draw another arc, cutting the previous arc at C. 

Step4: Join BC. 

Step 5: With A as center and radius equal to 4.2 cm, draw an arc. 

Step 6: With C as center and radius equal to 3.6 cm, draw another arc, cutting the previous arc at D. 

Step 7: Join AD and CD. 

Then, ABCD is the required quadrilateral