Question

Construct a cyclic quadrilateral ABCD in which AB$=2.8$cm, BC$=4$cm, CD$=3$cm, and $\angle$B$={105}^o$.

Answer 1

• Draw a line segment $AB$ of length $2.8cm$
• From $B$ make an angle of ${105}^o$ amd mark a point $C$ at a distance of $4cm$ from $B$
• Draw perpendicular bisectors of $AB$ and $BC$. These bisectors meet at point $O$
• Taking $O$ as center, draw a circle of radius $OB$
• This circle will also touch points $A$ and $C$. From point $C$, mark an arc of $3cm$ in major segment.
• Join $C$ and $D$ and $A$ and $D$
• The figure obtined is the required quadrilateral.