Construct a quadrilateral ABCD in which cm, and

Given :

AB = BD = 3.5 cm , AD = CD = 5.2 cm ,

Construction :

Step 1 : Draw segment AB of length 3.5 cm.

Step 2 : Taking A as centre draw an arc of radius 5.2 cm.

Step 3 : Taking B as centre draw an arc of radius 3.5 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 : Draw angle ABC of 120 degrees.

Step 6 : Taking B as centre draw an arc of radius 5.2 cm, which cuts the segment BP. Point of intersection is C.

Step 7 : Join CD

ABCD is the required quadrilateral.