**The point of intersection of the heights, angle bisectors and medians of a regular triangle** divides them into two line segments; the length of the longer one of these line segments from is equal to the length of the circumscribed circle’s radius and the length of the shorter one to the length of the inscribed circle’s radius:

where:

h – the heights of a regular triangle;

m – the medians of a regular triangle;

l – the angle bisectors of a regular triangle;

k – the perpendicular bisectors of a regular triangle.