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There are infinitely many types of triangles, and they can be classified according to their angles or sides (or both).

Equilateral (equiangular triangles): All sides equal, all angles 60 degrees. Obtuse angled isosceles triangles: Two sides equal; one angle > 90deg.

Right angled isosceles triangles: Two sides equal; angles of 90, 45, 45 degrees.

Other isosceles triangle: Two sides equal; angles of 180-2x, x, x degrees.

Obtuse angled scalene triangles: All sides unequal, one angle > 90 degrees.

Right angled scalene triangles: All sides unequal, one angle = 90 degrees.

Acute angled scalene triangles: All sides unequal, all angles < 90 degrees.

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