Question

Draw a chord of length 4 cm in a circle of radius 2.5 cm. Construct tangents at the ends of the chord.

Answer 1

• Draw a circle of radius $r=2.5cm$ of center $O$
• Mark a chord $AB$ of length $4cm$
• Join $OA$ and $OB$
• Taking $OA$ as base and vertex $A$, draw a ray $AT$ perpendicular to $OA$
• Taking $OB$ as base and vertex $B$,, draw a ray $BT$ perpendicular to $OB$
• These perpendiculars intersect at $T$.

$AT$ and $BT$ are required tangents.