The Law of Sines

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The Law of Sines is a relationship among the angles and sides of a triangle. The ratio of the sine of any of the interior angles to the length of the side opposite that angle is the same for all three interior angles. In symbols, .


Suppose angle is a right angle. Then , and the formula becomes and . In other words, the sine is the opposite side over the hypotenuse.


Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.