NaliB565371 NaliB565371
  • 25-10-2022
  • Mathematics
contestada

In the diagram below, segment PB is a tangent. IF AC = 18 and PA = 6, find PB.

In the diagram below segment PB is a tangent IF AC 18 and PA 6 find PB class=

Respuesta :

ShukriV682625 ShukriV682625
  • 25-10-2022

Explanation

we have a secant and a tangent

To solve the question, we will apply the intersecting secant and tangent theorem

So, for the question

we have

[tex]\begin{gathered} PB^2=PA(PA+AC) \\ \\ PB^2=6(6+18) \\ \\ PB^2=6(24) \\ \\ PB=144 \\ \\ PB=12 \end{gathered}[/tex]

Therefore, the value of PB is 12

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