Multiple choice

If PT is a tangent at T to a circle whose centre is O and OP=17 cm and OT=8 cm, find the length of the tangent segment PT.

  1. 13 cm

  2. 14 cm

  3. 16 cm

  4. 15 cm

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A tangent is perpendicular to the radius at the point of contact. Triangle OTP is right-angled at T, so by Pythagoras: PT² = OP² - OT² = 17² - 8² = 289 - 64 = 225, giving PT = 15 cm.