Question

construct a quadrilateral ABCD in which AB =4.1 cm , BC =3.6 cm CD=6.1 cm , DA =5.1 cm and \ABC =120°​

Answer 1

Answer:

Given: AB = 4 cm, BC = 6 cm, CD = 5.6 cm, DA = 5 cm and AC = 8 cm.

To construct a quadrilateral

Steps for construction

Step 1 : Draw a rough figure and mark the given measurements.

Step 2 : Draw a line segment AB = 4 cm.

Step 3 : With A and B as centres draw arcs of radii 8 cm and 6 cm respectively and let them cut at C.

Step 4 : Join

AC

and

BC

Step 5 : With A and C as centres draw arcs of radii 5 cm, and 5.6 cm respectively and let them cut at D.

Step 6 : Join

AD

and

CD

. ABCD is the required quadrilateral.

Step 7 : From B draw

BE

⊥

AC

and from D draw

DF

⊥

AC

, then measure the lengths of BE and DF. BE = h

1

= 3 cm and DF = h

2

= 3.5 cm.

AC = d = 8 cm.