TheodenP437567 TheodenP437567

28-10-2022
Mathematics

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In the diagram below, segment PB is a tangent. IF AC = 5 and PA = 4, find PB.

In the diagram below segment PB is a tangent IF AC 5 and PA 4 find PB class=

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MonasiaA658436 MonasiaA658436

28-10-2022

Explanation

Given that AC = 5 and PA = 4, we can find PB below.

[tex]\begin{gathered} PB^2=PA(PA+AC) \\ PB^2=4(4+5) \\ PB^2=4(9) \\ PB^2=36 \\ PB=\sqrt{36} \\ PB=6 \end{gathered}[/tex]

Answer: Option D

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