Question

Draw a circle of radius 5 cm. From a point P, 8 cm away from its centre, construct a
pair of tangents to the circle. Measure the length of each one of the tangents.​

Answer 1

6 centimetre, here is your answer my friend

Answer 2

1. Step-by-step explanation:

1. draw a circle with centre 'O' of radius 5 cm.
2. take a point 'P' 8 cm away from its centre.
3. join OP. draw perpendicular bisector of OP.
4. name the point of intersection as M.
5. taking MP as radius and M as centre draw another circle.
6. name the point A and B where the smaller circle intersects the larger circle respectively.
7. PA and PB are the required tangents.
8. after measuring with scale you will find the length of tangent as 6cm.

(OP is a chord which is making 180° at centre M therefore, angle OBP and angle OAP are 90°

since we know that tangents make right angle at point of contact)