The conversation between human and AI assistant.
What is the radius of the incircle of a triangle with sides of 18,24,30 cm?
I see. Is there any relation between the incenter, circumcenter, and centroid of a triangle?
Yes, there is. The incenter is the point where the angle bisectors of the triangle meet, while the circumcenter is the point where the perpendicular bisectors of the sides of the triangle meet. The centroid is the point where the medians of the triangle meet. These three points are collinear and lie on what is known as the Euler line of the triangle.