There are: Isoceles, Right, Scalene, and Equilateral.
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orthocenter
No. But all isosceles triangles and equilateral triangles are.
tri as in 3 angles as in the ends . He's right but i wil explain more. Equilateral triangles get there name from all sides being equal hence the name equilateral. Right triangles get there name from having a right angle, or ninety degree angle. I don't know about iscoceles.
A tetrahedron
Yes. But not all isosceles triangles are equilateral.