In the following figure, if PT= 12 cm and PB= 24 cm, then find AB.
Answer & explanation
Correct answer: option 2
Formula Used
From the tangent theorem,
\( {PT }^{2 } \) = PA x PB
Calculations
= Here, PT = 12 cm
= PB = 24 cm
Now, put the value of PT and PB
= \( {PT }^{2 } \) = PA x PB
= \( {12 }^{2 } \) = PA x 24
= PA = \(\frac{144}{24}\) = 6 cm
As we know,
= PB = PA + AB
= AB = PB - PA = 24 - 6 = 18 cm
Therefore, AB is 18 cm.