Question

Construct a quadrilateral ABCD in which AB = 3.4cm, CD = 3cm, DA = 5.7cm, AC = 8cm and BD = 4cm.

Answer 1

Given :

AB = 3.4 cm , CD = 3 cm , DA = 5.7 cm , AC = 8 cm , BD = 4 cm.

Construction :

Step 1 : Draw segment AB of length 3.4 cm.

Step 2 : Taking A as centre draw an arc of radius 5.7 cm.

Step 3 : Taking B as centre draw an arc of radius 4 cm, which cuts the arc drawn in step 2. Point of intersection of two arcs is D.

Step 4 : Join AD and BD.

Step 5 : Taking A as centre draw an arc of radius 8 cm.

Step 6 : Taking D as centre draw arc of radius 3 cm, which cuts the arc drawn in step 5. Point of intersection of two arcs is C.

Step 7 : Join CD , AC and BC.

ABCD is the required quadrilateral.