Final answer:
The given relationship sin a/ a= sin b/b = sin c/c is known as the Law of Sines. It is used to find missing side lengths and angle measures in a triangle.
Step-by-step explanation:
The given relationship sin a/ a= sin b/b = sin c/c is known as the Law of Sines.
The Law of Sines is used to find missing side lengths and angle measures in a triangle.
It states that the ratio of the sine of an angle to the length of the side opposite that angle is the same for all three angles in a triangle.
When given any triangle ABC with sides labeled as a, b, and c opposite to angles A, B, and C, respectively, the equation sin A / a = sin B / b = sin C / c is known as the Law of Sines. This formula is used to find unknown sides and angles in any triangle, not just right triangles. It is particularly useful for solving oblique triangles, which are triangles with no right angles.