The centroid of a triangle is in the exterior of the triangle?

Question

sometimes, always, never , cannot be determined

Answer 1

Never.

Answer 2

Never, or it isn't a triangle. A triangle is the geometric 2-dimensional shape with the fewest amount of sides to define it's boundary, it would take something with 4 sides before the centroid can exist outside the boundary.
This property of triangles is why we have triangulation when trying to locate something.

Answer 3

A centroid can never be exterior of a shape, considering a centroid is basically the balance point. You can't balance something outside itself.

Answer 4

The centriod is the intersection between the three lines from one vertex to a median.

Since you have three vertices you stretch a line to the other side and make it touch the midpoint of the opposite side. Now you you have a line. You do the same to the other two. Find the intersection. There will always be intersection in the middle and a centriod can't be outside since the centriod is considered the center.

Answer 5

Sometimes, as in the case of spherical triangles. Maybe being a lawyer is my true calling?

Answer 6

Never.