Answer to Question #289 in Geometry for Kevin
1) AB = BC + AC
2) AC = AB + BC
3) BC = AB + AC
The first statement is not true because AB < AB + BC (it’s the given information). The second statement is not true because AB > AC, so AB + BC > AC too, thus AC is not equal to AB+BC. The third statement is not true because AB > BC, so AB + AC > BC too, thus BC is not equal to AB+AC. So we can conclude that the points A, B and C can not belong to the same line.
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