Question

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

Answer 1

Steps of construction:
Step 1: Draw a circle of with centre 0 and radius $2.7cm$.
Step 2: Draw a chord $PQ$ of length $4.5cm$
Step 3: Taking a point $R$ on the major arc QP, join PR and QR.
Step 4: Make $\angle QPT=\angle PRQ$ and $\angle PQS=\angle PRQ$.
Step 5: Produce TP to L and SQ to $M$.
Hence, TPL and SQM are the required tangents.|