Question: What is the length of the tangent from a point P outside a circle to the point of tangency T if the radius of the circle is 5 cm and the distance from P to the center O of the circle is 13 cm?
Options:
Correct Answer: 12 cm
Solution:
Using the tangent-secant theorem, PT² = PO² - OT². Thus, PT² = 13² - 5² = 169 - 25 = 144, so PT = 12 cm.
