Solution :
We have the radius = 5 cm and the distance from the centre of the circle to the point from where the tangent is drawn = 13 cm.
Let AB = radius = 5 cm
Let BC = point from the centre from where the tangent is drawn = 13 cm
From tangent theorem :-
- A tangent at any point of a circle is perpendicular to the radius at the point of contact.
•°• In ? ABC, m
= 90°
•°• ? BAC is a right angled triangle.
By Pythagoras theorem :
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Hypotenuse = BC = 13 cm
Side 1 = AB = 5 cm
Side 2 = AC = x cm
Block in the values,

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%5E2%5C%3A%3D%5C%3A(5)%5E2)%2B(x)%5E2%7D)

%5E2%7D)

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•°• Length of tangent = x = 12 cm