What is the Law of Sines ratio for a triangle with sides a, b, c and circumradius R?
Show answer
2R
The extended Law of Sines states that a/sin(A) = b/sin(B) = c/sin(C) = 2R. This links the side-to-angle ratios of any triangle to the diameter of its circumscribed circle.
Also asked as:
- In the extended Law of Sines, what value is equal to the ratio of a side to the sine of its opposite angle?