There is a triangle ABC on a euclidean plane. Like every other triangle on the plane, it follows the law of sines, that is, BC/sin(A) = AC/sin(B) = AB/sin(C).

So we know that these three numbers are equal to one another, but most people don't know that they are also equal to the length of a special line segment. What is the significance of this length, and can you prove it?

The common length is the diameter of the circumcrcle.

Edited on February 16, 2023, 7:41 am

Posted by K Sengupta on 2023-02-16 07:40:53