/*
Description:
In this kata, you should calculate type of triangle with three given sides a, b and c (given in any order).

If all angles are less than 90°, this triangle is acute and function should return 1.

If one angle is strictly 90°, this triangle is right and function should return 2.

If one angle more than 90°, this triangle is obtuse and function should return 3.

If three sides cannot form triangle, or one angle is 180° (which turns triangle into segment) - function should return 0.

Input parameters are sides of given triangle. All input values are non-negative floating point or integer numbers (or both).


Acute

Right

Obtuse
Examples:
triangleType(2, 4, 6); // return 0 (Not triangle)
triangleType(8, 5, 7); // return 1 (Acute, angles are approx. 82°, 38° and 60°)
triangleType(3, 4, 5); // return 2 (Right, angles are approx. 37°, 53° and exactly 90°)
triangleType(7, 12, 8); // return 3 (Obtuse, angles are approx. 34°, 106° and 40°)
If you stuck, this can help you: http://en.wikipedia.org/wiki/Law_of_cosines. But you can solve this kata even without angle calculation.

There is very small chance of random test to fail due to round-off error, in such case resubmit your solution.
*/

function triangleType(a, b, c) {
  const max = Math.max(a, b, c);

  if (a + b + c <= 2 * max) return 0;
  if (2 * max * max == a * a + b * b + c * c) return 2;
  if (2 * max * max > a * a + b * b + c * c) return 3;
  return 1;
}
