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.



plzz solve the question​

Answer 1

Answer:15

Step-by-step explanation:

Refer the figure

PM^2 = OM^2 - OP^2 (Pythagoras theorem)

PM^2 = 17^2 - 8^2

PM^2 = 289 - 64

PM^2 = 225

=> PM = √225

PM = 15

Answer 2

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.