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Question
Use rule and compass only for answering this question.
Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents to the circle from the external point P.
Measure and write down the length of any one tangent.
Solution
i. Draw a line segment OP = 7 cm
ii. With centre O and radius 4 cm, draw a circle.
iii. Draw the mid point of OP.
iv. With centre M and diameter OP, draw a circle which intersect the circle at T and S.
v. Joint PT and PS
PT and PS are the required tangent on measuring the length of PT = PS = 5.74 cm
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