Question

Draw a circle of radius $2.7$cm and draw chord PQ of length $4.5$cm. Draw tangents at P and Q without using the center of the circle.

Answer 1

Draw a circle of $r=2.7cm$

Take point $P$ on it and mark a length $4.5cm$

Join $PQ$

Take point $M$ on major arc and join $PM$ and $MQ$

Make $PR$ and $SR$ such that

$\angle RPM=\angle PQM$

and $\angle PQT=\angle PMQ$