SOLUTION: Is there an angle measure that is so small that any triangle with that angle measure will be an obtuse triangle? Explain?
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Question 534446: Is there an angle measure that is so small that any triangle with that angle measure will be an obtuse triangle? Explain?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
No matter what measure one of the angles in a triangle might be, it is certainly true that if one of the remaining angles has a measure of 
and the other has a measure of 
, then 
, so if we let 
, then 
and then 
.
So it is always possible to have an acute triangle regardless of how small one of the angles' measure.
John
My calculator said it, I believe it, that settles it
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