Question

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.

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Answer 1

Answer:

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

∴ The length of the tangent is 15 cm.