A line is drawn from a point P located 13 cm away from the center O of a circle with radius 5 cm. If the line is tangent to the circle, what is the length of the tangent from point P to the point of contact with the circle?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12 cm.
OP = 13 cm
Radius OT = 5 cm
Here, OT ⊥ PT then ∠OTP = 90°
Tangent length = √(132 – 52) = √(169 – 25) = √144 = 12 cm