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):
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
