Centers of Triangles and How to Find Them
Centroid-This is the point at which the three medians of the triangle intersect. <Always inside of the triangle
Incenter--Incircle-The point at which the three angle bisectors intersect. <Always inside of the triangle
Circumcenter--Circumcircle- The point at which the three perpendicular bisectors of the triangle intersect.
Orthocenter- The point at which the three altitudes of the triangles intersect.
**In the case of an equilateral triangle, all of these measures of center occur at the same point.**
--For a more in-depth explanation of the measures of centers, you can scroll through the document below--
Incenter--Incircle-The point at which the three angle bisectors intersect. <Always inside of the triangle
Circumcenter--Circumcircle- The point at which the three perpendicular bisectors of the triangle intersect.
Orthocenter- The point at which the three altitudes of the triangles intersect.
**In the case of an equilateral triangle, all of these measures of center occur at the same point.**
--For a more in-depth explanation of the measures of centers, you can scroll through the document below--
Measures of Center
Below you will find a slideshow of three examples of triangles. These examples showcase the fact that all the Centroid, Circumcenter, and the Orthocenter are all collinear. This line is also known as the Euler line, named after its discoverer. In the case of an Equilateral triangle, all of these points occur at the same point.