Solve for missing sides and angles of a triangle using the Law of Sines.
Inputs
Known Pair
Unknown Pair
Results
Side b14.1421
About this calculator
About Law of Sines
The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides: a/sin(A) = b/sin(B) = c/sin(C).
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Pro Tips
Useful when you know two angles and one side (AAS or ASA).
Can be used for the Ambiguous Case (SSA), but check for multiple solutions.
The constant ratio is equal to the diameter (2R) of the triangle's circumcircle.
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Fun Facts
"The Law of Sines works for any triangle, not just right-angled ones."
"It was known in some form by Ptolemy and medieval Islamic mathematicians."
