Question

In a circle of radius 5 cm draw a chord of length 8 cm. Construct tangents at the ends of the chord.

Answer 1

• Draw a circle of radius $5cm$
• Take a point $P$ on the circle and mark a chord of length $8cm$ from $P$ and join $PQ$
• Join the center of circle $O$ with point $P$ and $Q$
• Taking $OP$ and $OQ$ as base and $P$ and $Q$ as vertex respectively
• Draw perpendiculars to $OP$ and $OQ$
• These perpendiculars meet at point $T$
• $PT$ and $QT$ are the tangents at the vertex of the chord.