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Planes and points math question?
Given three points in the plane, no three of which are collinear, is it always possible to find a point in the same plane equidistant from the four points? Why/Why not?
2 Answers
- Steve BLv 68 years ago
Is the second word in your question supposed to be "four"? If not, then several other words are either wrong or superfluous. If so, then finding a fifth point equidistant from the first four is not always possible. Just look at a triangle and its circumcenter. The circumcenter is the only point equidistant from the vertices of the triangle, so a 5th point eqidistant from all 4 is impossible.
- 8 years ago
yes any 3 points make a triangle and you can find the center of any triangle (look it up)
