Question

Is the centroid of a triangle equidistant from the three vertices?

Answer 1

The centroid is not the same distance from all three vertices, if that's the question.

Here's a picture of a centroid:
http://www.mathwords.com/c/c_assets/centroid.jpg

Answer 2

The centroid is the intersection of the medians of the triangle.

Answer 3

*not always

Answer 4

To be equidistant from the vertices, the point would have to be the center of a circle that has all the vertices on it. i.e. the point would be the circumcenter of the circumscribed circle about the triangle.

Answer 5

@jazy yes, it could be that the centroid is also the circumcenter. That is for a special kind of triangle.

Answer 6

Thank you guys :)