Draw a circle with centre O and radius 2.7 cm. Take a point P at a distance 8.5 cm from the centre of the circle. Using a pair of compasses and ruler, construct two tangents PS and PT to the circle. Measure and state the length of the tangent segments.
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1. Draw a circle of radius 2.7cm with centre P
2. A point P was marked outside the circle such that, QP = 5.8cm.
3. P to Q was joined.
4. Perpendicular bisector of PQ was found to be M.
5. With MQ as radius and M as center a circle was drawn touching the previous drawn circle.
6. Point of intersections of two circles were marked to be S and R respectively
7. P was joined to S and R respectively.
Therefore, required tangents will be PS and PR.
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