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Precalculus Mathematics Homework Help
(Rigorously) Prove that two medians of a triangle intersect
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[QUOTE="Simon Bridge, post: 4984938, member: 367532"] It does seem that the proof is kinda blowing up as you consider more general cases ... you want to try showing that the situation you have is a special case of something already proven or build from simpler structures. Maybe: A line through a vertex, which also intersects the opposite side, can only intersect the triangle at the opposite side (or it would have to pass through another side twice). Alternatively - any line through a vertex, that does not pass through the opposite side, does not pass through the triangle at all. That help? It's certainly the case that it is often easier to rigorously disprove something than to prove it. [/QUOTE]
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(Rigorously) Prove that two medians of a triangle intersect
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