Calculate angles or sides of triangles with the Law of Sines. Calculator shows law of sine equations and work. Calculates triangle perimeter, semi-perimeter, area, radius of inscribed circle, and radius of circumscribed circle around triangle.

Law of Sines. To solve the unknown sides and angles of oblique triangles, we will need the Law of Sines or Sine Rule. By the way, an oblique triangle is a type of triangle which does not contain a right angle or a 90-degree angle. The Law of Sines can be summarized as:

The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. It works for any triangle:

T HE LAW OF SINES allows us to solve triangles that are not right-angled, and are called oblique triangles. It states the following: The sides of a triangle are to one another in the same ratio as the sines of their opposite angles. a: b: c = sin A : sin B : sin C. Specifically, side a is to side b as the sine of angle A is to the sine of angle B.

This section covers the Law of Sines, including its derivation, and how to use it to find missing sides and angles in oblique triangles. It includes examples, practical applications, and solving …