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A triangle, as its name suggests, has 3 corners. No more, no less. A triangle itself is 2-D, meaning it is flat. A pyramid would be 3-D. It also has 3 edges. Triangles can be of different types: equilateral - all sides of equal length isoceles - exactly two sides of equal length and the other of a different length scalene - no sides of equal length.
One more because an equilateral triangle has 3 equal sides whereas a right isosceles triangle has only 2 equal sides.
An isosceles triangle has two (or more) sides of equal length, while a scalene triangle has no correlation between side lengths/angle size.
All triangles have 3 sides but an isosceles triangle has 2 equal sides and an equilateral triangle has 3 equal sides.
Using the traditional definitions, a triangle that has two equal sides (and angles) is an isosceles triangle and one with three equal sides (and angles) is an equilateral triangle. However, some mathematicians define an isosceles triangle as any triangle having at least two equal sides, which is what you are describing.