SOLUTION: Proove that a triangle must have two acute angle

Algebra ->  Geometry-proofs -> SOLUTION: Proove that a triangle must have two acute angle      Log On


   



Question 978686: Proove that a triangle must have two acute angle
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The sum of the measures of the angles of a triangle is 180. An obtuse angle is greater than 90, so two obtuse angles must be greater than 180. Therefore there can only be at most one obtuse angle in a triangle, which is to say the other two angles must be acute.

John

My calculator said it, I believe it, that settles it