Equlatieral
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An equilateral triangle.
I guess you mean with ALL sides the same size it's an equilateral triangle
the equilateral triangle
When all three sides of the triangle are the same length. Additionally, all three corners of the triangle will be the same size as well.
-- All three sides of an equilateral triangle are the same length. It's impossible for the sides of a right triangle to all be the same length. -- A right triangle must have a right angle in it. All three angles of an equilateral triangle are the same size. It's impossible for all 3 angles in a triangle to all be right angles.