Construct a quadrilateral ABCD such that /AB /=4cm, /BC /,=5cm, /AD /=3.5cm and CAB=30°.measure /AB/

2 answers

Huh? You already said that |AB|=4cm

To construct the figure,
bisect a 60° angle to get angle A.

Mark B where an arc of radius 4 intersects one side of angle A.

C lies on a circle CB of radius 5 with center at B.

D lies on a circle CA of radius 5 with center at A.

So, CD is a segment joining any two suitable points on CA and CB
oops. CA has radius 3.5