Law of Sines Calculator
Solve a triangle side using the law of sines.
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Introduction
Law of Sines Calculator — Solve a triangle side using the law of sines. Enter Side a, Angle A (degrees, opposite a), Angle B (degrees) to get an instant, accurate result.
Formula
Law of sines: a/sin(A) = b/sin(B). Given side a and its opposite angle A, and a second angle B, side b = (a/sin(A)) × sin(B).
Step-by-step
- Enter the Side a.
- Enter the Angle A (degrees, opposite a).
- Enter the Angle B (degrees).
- Click Calculate to see your result instantly.
Real-world example
Example: With Side a = 10, Angle A (degrees, opposite a) = 30, Angle B (degrees) = 90, the Law of Sines Calculator gives Ratio: 20, Side B: 20.
Frequently Asked Questions
What information do I need?
One side, its opposite angle, and a second angle — the calculator then finds the side opposite that second angle.
Does this work for any triangle?
Yes, the law of sines applies to any triangle, not just right triangles.
What inputs does the Law of Sines Calculator need?
You'll need to provide: Side a, Angle A (degrees, opposite a), Angle B (degrees). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Law of Sines Calculator?
The Law of Sines Calculator applies the formula exactly as calculated — Law of sines: a/sin(A) = b/sin(B). Given side a and its opposite angle A, and a second angle B, side b = (a/sin(A)) × sin(B). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Law of Sines Calculator free to use?
Yes, the Law of Sines Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Law of Sines Calculator
The Law of Sines Calculator uses a real, verifiable formula — Law of sines: a/sin(A) = b/sin(B). Given side a and its opposite angle A, and a second angle B, side b = (a/sin(A)) × sin(B). — so results are accurate every time, not an approximation.