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Points A, B, and C are on a sphere whose radius is 13.  If AB = BC = \(12\) , what is the longest possible value of AC?

 Apr 25, 2022
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What is the longest possible value of AC?

 

Hello Guest!

 

\(\sqrt{12^2-x^2}+\sqrt{13^2-x^2}=13\\ x=\dfrac{12\sqrt{133}}{13}\)

 \(The\ longest\ possible\ value\ of\ AC\ is\ {\color{blue}2x}=2\cdot \dfrac{12\sqrt{133}}{13}=\color{blue}21.291\)

laugh  !

 Apr 26, 2022

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