AsamiS88262 AsamiS88262

26-10-2022
Mathematics

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In the diagram below, segment PB is a tangent. IF PA = 3, and PB = 6, find the length of AC.

In the diagram below segment PB is a tangent IF PA 3 and PB 6 find the length of AC class=

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MaishaM505348 MaishaM505348

26-10-2022

d. 9

Formula relation:

[tex]\begin{gathered} (PB)^2=PA*PC \\ 6^2=3*PC \\ 36=3*PC \\ \frac{36}{3}=PC \\ PC=12 \end{gathered}[/tex][tex]\begin{gathered} AC=PC-PA \\ AC=12-3 \\ AC=9 \end{gathered}[/tex]

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