Pat Bellew pointed out three related results from [url]gogeometry.com[/url]
in this post: [url]http://pballew.blogspot.com/2014/01/circles-and-equilateral-triangles.html[/url]
1: [url]http://www.gogeometry.com/problem/p256_equilateral_triangle_circumcircle_distance_vertex.htm[/url]
2: [url]http://www.gogeometry.com/problem/p257_equilateral_triangle_circumcircle_distance_sides.htm[/url]
3: [url]http://www.gogeometry.com/problem/p258_equilateral_triangle_incircle_distance_square.htm[/url]