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