Question

Construct a cyclic quadrilateral ABCD in which AB$=4$cm, BC$=5$cm, CD$=2.8$cm, and $\angle$B$={60}^o$.

Answer 1

• Draw a line segment $AB$ of $4cm$
• Man an angle equal to ${60}^o$ and mark a point $C$ at distance of $5cm$ from $B$
• Taking $BC$ and $AC$ as chords, find perpendicular bisector of both chords.
• These two meet at point $O$
• Taking $O$ as center, draw a circle having radius $OB$
• This circle also touches point $C$ and $A$
• From the point $C$, mark an arc of $3cm$ in the major segment of $AB$ and $CB$ chords
• Join the point $D$ with $C$ and $A$
• The figure obtained is required quadrilateral.