SOLUTION: As the legs of a tripod are spread apart, which theorem guarantees that the angles between each pair of legs get larger?
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Question 549465: As the legs of a tripod are spread apart, which theorem guarantees that the angles between each pair of legs get larger? Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! The law of cosines is sufficient. If d is the distance between two ends of the tripod (which is assumed to be increasing), and x is the length of each leg, then
where theta is the angle between two of the legs. It can be shown that if d increases, then theta also increases.
