Draw a line segment of length 7 cm

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Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking 8 as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.Steps

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The construction of the given situation is attached alongwith this answer.

\bf{ \underline{ \star \:Steps \: Of \: Construction \star}}

1. Take AB = 7 cm.

2. With A as centre and 3 cm as radius, draw a circle.

3. Similarly, with B as centre and 2 cm as radius, draw a circle.

4. Now, draw the perpendicular bisector of AB and mark the point of intersection O.

5. With O as centre and OA as radius, draw a circle. Mark the 2 points where the circles with centre O and A meet as Q and R. Similarly, mark the points where the circles with centres O and B meet as S and T respectively.

6. Join BR and BQ as well as AS and AT. Now, BR, BQ, AS and AT are the required tangents.

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