Question

Construct a direct common tangent to two externally touching circles of radii 4.5 cm.

Answer 1

• Draw a line segment of $9cm\left(AB\right)$
• Draw two circles $C1$ and $C2$ with radius $4.5cm$ and centre $A$ and $B$
• Draw perpendicular $MO$ and $NP$ at $A$ and $B$ respectively.
• $M,O$ and $N,P$ are the end point of perpendiculars in circle $C1$ and $C2$ respectively.
• Join $MN$ and $OP$
• These are the required tangents.