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Question
Draw a circle of radius 3.5 cm. Take any point K on it. Draw a tangent to the circle at K without using centre of the circle.
Solution
Steps of construction:
1. Draw a circle of radius 3.5 cm. Take any point K on it.
2. Draw a chord KL through K. Take any point M on the major arc KL.
3. Join KM and ML.
4. Draw an arc of the same radius taking M and K as the centres. Taking H as the centre and radius equal to IJ, draw an arc intersecting the previous arc at G.
∴ ∠KML = ∠LKR
5. Join KG and extend it on both the sides to draw PR which is the required tangent to the circle at K.
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