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 :-
•°• In ? ABC, m = 90°
•°• ? BAC is a right angled triangle.
By Pythagoras theorem :
Hypotenuse = BC = 13 cm
Side 1 = AB = 5 cm
Side 2 = AC = x cm
Block in the values,
•°• Length of tangent = x = 12 cm