Is the triangle always, sometimes, or never.

Question

A right triangle is either always, sometimes, or never an equilateral triangle?

Answer 1

A right triangle has one angle of 90º.  The sum of the other two angles is 90º (since the sum of the 3 angles is 180º).

 

An equilateral triangle has three equal angles of 60º, so if one angle of a triangle is 90º (that is, it's a right triangle), then it cannot be an equilateral triangle.

Answer 2

For a triangle to be equilateral it must also be equiangular. A right triangle is never equiangular.