Difference between revisions of "Pythagorean Inequality"
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Revision as of 14:26, 9 February 2008
The Pythagorean Inequality is a generalization of the Pythagorean Theorem. The Theorem states that in a right triangle with sides of length 
we have 
. The Inequality extends this to obtuse and acute triangles. The inequality says:
For an acute triangle with sides of length , 
. For an obtuse triangle with sides , 
.
This inequality is a direct result of the Law of Cosines, although it is also possible to prove without using trigonometry.
