Question

Q. Find the length of the tangent from a point M which is at a distance of 17 cm from the centre O of the circle of radius 8 cm.​

Answer 1

Step-by-step explanation:

Consider the figure in Attachment.

Since, MN is the tangent of the circle,

∠MNO = 90⁰

⟹ MO² = MN² + ON²

⟹ 17² = MN² + 8²

⟹ 289 = MN² + 64

⟹ 289 – 64 = MN²

⟹ MN² = 225

⟹ MN = 15

Thus the length of the tangent is 15 cm.

Answer 2

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