Question

A point P is given outside of a circle Γ. A tangent from P to Γ touches Γ at T with PT=45. A line from P cuts Γ at the 2 points A,B. If PA=25, what is the length of PB?

Answer 1

81

Answer 2

PT^2 = PA * PB

PT = 45
PA = 25
PB = (45 * 45)/25
= 81 units