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Find the length of the tangent from a point 13 cm away from the centre of the circle of radius 5 cm.

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Find the length of the tangent from a point 13 cm away from the centre of the circle of radius 5 cm.

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Radius of the circle = 5 cm 

Length of the tangent = x cm 

Distance between centre to point be = 13 cm 

132 = 52 + x2 

x2 = 169 – 25 = 144 

⇒ x = 12 cm

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