AMNP ~ AQRP N x + 8 28 M 24 P 3x - 9 R Create a proportion and find the length of side PR*

McBeth asked Aug 2, 2023

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McBeth asked Aug 2, 2023

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30 votes

Using thales theorem:

$\begin{gathered} (24)/(28)=(x+8)/(3x-9) \\ 24(3x-9)=28(x+8) \\ 72x-216=28x+224 \\ 44x=440 \\ x=(440)/(44) \\ x=10 \\ PR=3(10)-9=21 \end{gathered}$

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