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Triangle Angle Calculator

The Triangle Angle Calculator is a tool that calculates the angles of a triangle given the length of its sides.

This page exists due to the efforts of the following people:

Timur

Timur

Michele

Michele

A

Anton

Created: 2011-07-29 21:39:04, Last updated: 2023-02-07 21:53:00
Creative Commons Attribution/Share-Alike License 3.0 (Unported)

This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/534/. Also, please do not modify any references to the original work (if any) contained in this content.

triangle.JPG



To use the calculator, the user simply inputs the length of the three sides of the triangle and the calculator will use the law of cosines to determine the angles. The results are displayed in degrees and can be used to solve problems in geometry, engineering, and other fields.

The law of cosines:
c^2=a^2+b^2-2ab cos \gamma,
thus
\gamma = arccos( \frac{a^2+b^2-c^2}{2ab} )

For degenerate triangle, where side lengths violate the following inequalities
a+b>c,
b+c>a,
a+c>b,
the results will be zeroes.

PLANETCALC, Triangle angles for given triangle sides

Triangle angles for given triangle sides

Digits after the decimal point: 2
Angle alpha (degrees)
 
Angle beta (degrees)
 
Angle gamma (degrees)
 

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Timur2023-02-07 21:53:00

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