What is the name given to a triangle where all sides are of different lengths and all angles of different size?

Triangles can be classified according to the lengths of their sides:

A scalene triangle has all its sides of different lengths. Equivalently, it has all angles of different measure.

An equilateral triangle has all sides the same length. An equilateral triangle is also a regular polygon with all angles measuring 60°.

An isosceles triangle has two sides of equal length. An isosceles triangle also has two angles of the same measure, namely the angles opposite to the two sides of the same length; this fact is the content of the isosceles triangle theorem, which was known by Euclid. Some mathematicians define an isosceles triangle to have exactly two equal sides, whereas others define an isosceles triangle as one with at least two equal sides. The latter definition would make all equilateral triangles isosceles triangles. The 45–45–90 right triangle, which appears in the tetrakis square tiling, is isosceles.

A right triangle has one of its interior angles measuring 90° (a right angle). The side opposite to the right angle is the hypotenuse, the longest side of the triangle.