# equilateral triangle

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#### jokaec

##### Senior Member
Can I call an equilateral triangle a "perfect" triangle? Thank you!

• #### PaulQ

##### Senior Member
Triangle is an absolute. All triangles are perfect triangles, otherwise they are not triangles...

#### Andygc

##### Senior Member
All triangles are perfect triangles, otherwise they are not triangles...
No they're not, but the definition varies. Perfect Triangles
Perfect triangles are triangles with sides of integer length and having numerically equal integer area and perimeter.
The answer to the OP is, as you imply, "no".

#### PaulQ

##### Senior Member
You will note the difference between a perfect triangle and a Perfect Triangle... The OP is talking generalities.

#### Andygc

##### Senior Member
You might, if you looked, note the difference between "Perfect Triangle" being a title, "Perfect triangle" being the beginning of a sentence and "perfect triangle" being used in the text.

The OP is talking generalities.
Do you have any evidence to support that statement?

#### entangledbank

##### Senior Member
An equilateral triangle is a regular triangle, just as a square is a regular rectangle, and you can have regular pentagons and so on: the sides are all the same length. 'Perfect' is used for various things in mathematics: 625 is a perfect square, because its square root is a whole number, whereas 624 is not; and we can define perfect cubes similarly. A perfect number is one whose smaller factors add up to it: 6 = 1 + 2 + 3, and 28 = 1 + 2 + 4 + 7 + 14. These are the common uses of 'perfect' I can think of.

#### Cagey

##### post mod (English Only / Latin)
We need more information. What sort of 'perfect triangle' do you have in mind, jokaec?
Are you thinking of a mathematical term of the sort entangledbank illustrates above, as in the example Andy offers?
Or are you thinking of a non-mathematical use of 'perfect', meaning that something is an ideal example of its kind?

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