Are the Centroid and Circumcenter the Same?
The Centroid of a Triangle Is the Point at Which the Three Medians Meet. .. . the Circumcenter Is Also the Center of the Circle Passing Through the Three...
The centroid of a triangle is the point at which the three medians meet. ... The circumcenter is also the center of the circle passing through the three vertices, which circumscribes the triangle. This circle is sometimes called the circumcircle.
For what triangles is it true that the circumcenter and the centroid are the same point?
Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!
Is centroid and circumcenter the same in equilateral triangle?
Converse of the result is also true, i.e. in an equilateral triangle, the centroid, the circumcentre and the orthocentre coincide with each other.