Find the length of tangent from a Point M which is at a distance of 17 CM from the centre 0 of the circle of radius 8 CM.
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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.
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.
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⟹ MO² = MN² + ON²
⟹ 17² = MN² + 8²
⟹ 289 = MN² + 64
⟹ 289 – 64 = MN²
⟹ MN² = 225
⟹ MN = 15
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