Question

Construct a quadrilateral ABCD, when:

$BC=7.5$ cm, $AC=5.8$ cm, $AD=3.6$ cm,
$CD=4.2$ cm and $A={120}^{\circ }.$

Answer 1

1. Draw $AC=5.8cm$
2. Then draw an arc taking A as centre and 3.6 cm as radius. Draw another arc with C as centre and $4.2cm$ as radius cutting the previous arc at D. Then join A with D and C with D.
3. Construct an angle ${120}^o$ at A , that is $\angle DAX={120}^o$
4. Now, draw an arc taking C as centre and $7.5cm$as radius, cutting the ray AX at B.
5. Join ABCD is the required quadrilateral.