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Calling all smart people
Posted:
Sep 27, 1996 7:21 PM
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I've recently had a disagreement with a friend which so far has yet to be settled. While watching last night's lunar eclipse, I mentioned that for one brief instant the earth, sun and moon were aligned in a straight line. I went on to say that only during solar and lunar eclipses do these three bodies not form a triangle. She replied that they *always* form a triangle whether in a straight line or not. We then argued about whether a line segment could be a triangle (in that 2 of the 3 sides would have a length of 0.) I say that the 3 sides must have measurable length, or else it would wreak havoc when figuring out sin, cos and tan measures for this theoretical line segment triangle. Can someone provide a comprehensive definition of triangle...or just answer whether a line segment can be a triangle? Thanks,
John
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