Triangle inequalities bound combinations of the angles of a triangle. Let a triangle have angles 
, 
, and 
, then inequalities include
 |
(1)
|
 |
(2)
|
 |
(3)
|
 |
(4)
|
 |
(5)
|
 |
(6)
|
 |
(7)
|
 |
(8)
|
 |
(9)
|
 |
(10)
|
 |
(11)
|
 |
(12)
|
(Siddons and Hughes 1929, p. 283), and
 |
(13)
|
(Weisstein).
See also
Triangle Inequality
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References
Siddons, A. W. and Hughes, R. T. Trigonometry, Parts III-IV. London, England: Cambridge University Press, 1929.Referenced
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Triangle Inequalities
Cite this as:
Weisstein, Eric W. "Triangle Inequalities."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TriangleInequalities.html
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