An Equilateral triangle.
Equal (the same (as in length in this case)) + lateral (side) + change "equal" to "equil" = equilateral.
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Is called a scalene triangle.
There are only three kinds of triangle - equilateral, where all three sides are the same - isoceles, where only two sides are the same - and scalene, where no sides are the same. The right triangle is a special case of the isoceles or scalene. Even if you consider the right triangle different, which is is not, that only make five kinds of triangle.
For one thing, it's an "acute triangle" because all three of its angles are acute. But in the very special case where all three angles are 60 degrees each, the triangle's sides are also all the same length, and that characteristic is the root of it's name. It's called an "equilateral" triangle, even though it's also an "equiangular" triangle.
One example of analogy reasoning in geometry is when you have to figure out what type of triangle a triangle is. For example, if you have a triangle with three sides and you can tell the sides are the same size, you can deduce you have an equilateral triangle, even without measuring it.
If none of the sides are even.