Understanding the Law of Sines

The Law of Sines is essential for solving oblique triangles (non-right triangles) in fields like surveying, navigation, and engineering. It establishes a relationship between sides and their opposite angles: a/sin(A) = b/sin(B) = c/sin(C).

How to Use This Calculator

Enter any three values (combinations of sides and angles)
Ensure at least one side is provided
Results update automatically as you type
Use reset to clear all fields

Practical Examples

Example 1: If you know Angle A=30°, Side a=10, and Angle B=45°, the calculator finds Side b ≈ 14.14 and Angle C=105°.

Example 2: Doubling all sides while keeping angles constant maintains the same proportions per the Law of Sines.

Reference Table

Known Values	Solvability
2 angles + 1 side	Always solvable
2 sides + non-contained angle	Possible ambiguity
3 sides	Requires Law of Cosines

Warning: The ambiguous case (SSA) may yield two possible solutions. Always verify results with geometric constraints.

Law of Sines Calculator

Input Values

Results

Understanding the Law of Sines

How to Use This Calculator

Practical Examples

Reference Table

Triangle Type Identifier

Frequently Asked Questions

Can I solve a triangle with only angles?

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Law of Sines Calculator - Solve Any Triangle

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