* @ Pythagoras:
* The Pythagorean rule does work on right angled triangles. As a matter of fact it only works for right angled triangles.
* An equilateral triangle has three angles of 60° each, so Pythagoras does not apply.
* As by your own example:
* a^2 + b^2 = c°2 => 3^2 + 4°2 = 5^2 => 9 + 16 = 25
* Please correct your misleading statement on this matter.
* By the way, there are equilateral right angled triangles on a sphere, where all three angles, alpha, beta and gamma, are 90°. There does exist a spherical Pythagorean theorem, cos(c/r) = cos(a/r) cos(b/r).
* a, b and c are the sides, r is the radius.