"Vertices" means "vertexes".
"Vertex" means one of the triangle's points. The triangle has three points.
When you talk about two or three of them, you're talking about 2 or 3 'vertices'.
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They are the 3 corners of the triangle and vertices is the plural of vertex
The vertices of a triangle are the endpoints. In other words, when the sides of the triangle intersect, they form a vertex of a triangle. A triangle has a total of three vertices.
3 vertex
equidistant from the vertices
I believe the common end points are called vertices. Each separate one is called a vertex, but the plural of "vertex" is "vertices."