Draw a line segment AB of length 7cm. Taking A as centre,draw a circle of radius 3cm and taking B as centre, draw another circle if radius 2 cm. Construct tangents to each circle from the centre of the other circle.

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Please find below the solution to the asked query:
$$\begin{gathered} \mathrm{Step}1=\mathrm{Draw} \mathrm{line} \mathrm{AB} \left(7\mathrm{cm}\right) \\ \mathrm{Step}2=\mathrm{Draw} \mathrm{a} \mathrm{circle} \mathrm{of} \mathrm{radius} 3\mathrm{cm} \mathrm{from} \mathrm{point} \mathrm{A} \\ \mathrm{Step}3=\mathrm{Draw} \mathrm{a} \mathrm{circle} \mathrm{of} \mathrm{radius} 2\mathrm{cm} \mathrm{from} \mathrm{point} \mathrm{B} \\ \mathrm{Step}4=\mathrm{Now} \mathrm{bisect} \mathrm{the} \mathrm{line} \mathrm{AB} \mathrm{which} \mathrm{cuts} \mathrm{AB} \mathrm{at} \mathrm{G} \\ \mathrm{Step}5=\mathrm{Now} \mathrm{take} \mathrm{length} \mathrm{of} \mathrm{AG}=\mathrm{GB} \mathrm{with} \mathrm{compass} \mathrm{and} \mathrm{mark} \mathrm{arc} \mathrm{both} \mathrm{circle} \mathrm{at} \mathrm{C} , \mathrm{D} , \mathrm{E} , \mathrm{F} \\ \mathrm{Step}6=\mathrm{Now} \mathrm{join} \mathrm{A} \mathrm{to} \mathrm{E} , \mathrm{A} \mathrm{to} \mathrm{F} , \mathrm{B} \mathrm{to} \mathrm{C} , \mathrm{B} \mathrm{to} \mathrm{D} \\ \mathrm{So} \mathrm{AE} , \mathrm{AF} , \mathrm{BC} , \mathrm{BD} \mathrm{is} \mathrm{required} \mathrm{tangents} \end{gathered}$$


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