Free Law of Sines Calculator
Find a missing side or angle using the law of sines.
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Inputs
Result
Side b
10.7784
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Short answer
Find a missing side or angle using the law of sines.
What is the Law of Sines Calculator?
Find a missing side or angle using the law of sines.
How does the Law of Sines Calculator work?
Enter the inputs above and read the result.
Formula
Variables
A,B,CTriangle's angles
Explanation
The ratio of a side to the sine of its opposite angle is constant across the triangle.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Law of Sines Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Law of Sines
Find a missing side or angle using the law of sines. Within math calculators, law of sines belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.
Learning how law of sines is calculated
The ratio of a side to the sine of its opposite angle is constant across the triangle. Working through the variables one at a time — A,B,C — makes the result reproducible by hand and easier to sanity-check.
Using law of sines to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How law of sines compares with related measures
area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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