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SuicideFuel Math thread problem (official)

fuck math it ruined me throughout high school
 
Given are five line segments (or equivalently any five positive numbers aka lengths) so that any three of them can be put together to make a (nondegenerate) triangle. Prove that at least one of those triangles must be acute.
triangle inequality
what does the law of cosines tell you about acute triangles?
 
I forget most of the non-simple math I learned back in school already and I only graduated 2 years ago :fuk:
 
Math sucks, hated my bitch of a math teacher and It was difficult for me
 

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