Law of Cosines Calculator
Use this law of cosines calculator to determine the third side of a triangle knowing two sides and the angle between ...

What Law of Cosines Calculator does
The Law of Cosines Calculator on Omni Calculator determines unknown sides and angles in any triangle, not just right triangles. Users input two sides and the included angle to find the third side, or all three sides to find the angles. The result provides the missing measurement with clear labeling. Beyond the core calculation, the site offers a breakdown of the law of cosines formula, explanations of when and how to use it, and proofs of the theorem, making it a comprehensive reference for trigonometric problem-solving. It also connects to other triangle calculators for related needs.
How to use the Omni Calculator Law of Cosines Calculator
- 1
Select what you are solving for: side length or angle measurement
- 2
Input the two known side lengths and the angle between them, or all three side lengths
- 3
Click the calculate button to generate the missing value
- 4
Review the result displayed with the corresponding side or angle label
Best for
Students, educators, or anyone needing to solve non-right triangle problems quickly without manual formula manipulation.
Limitations
- Results are estimates based on the inputs provided
- Does not support unit conversion within the calculator interface
- Requires valid triangle side lengths; impossible triangles will yield no solution
Law of Cosines Calculator FAQ
- Can this calculator solve right triangles?
- The calculator accepts side lengths in millimeters, centimeters, meters, or inches, but you must input the same unit for all sides of a given triangle.
- What if I only know one side and one angle?
- The law of cosines formula uses the cosine of the angle between two known sides to calculate the third side; if the angle is not between the known sides, the formula does not apply directly.
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