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x y and z are three points on a unit sphere. the space distance between any pair of the three points is square root 2. an ant can only crawl on the surface of the sphere. the ant starts from point x, passes through points y and z, and then returns to x. what is the shortest possible distance of this trip?

 May 22, 2021
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The shortest possible distance of the trip is pi.

 May 22, 2021

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