Write classify_triangle(a, b, c) that takes three side lengths and returns:
"not a triangle"if the sides cannot form a triangle (any side is 0, or the two shorter sides do not add up to more than the longest one),"equilateral"if all three sides are equal,"isosceles"if exactly two sides are equal,"scalene"if all sides are different.
Examples
Input: a = 3, b = 4, c = 5
Output: "scalene"
Input: a = 2, b = 2, c = 2
Output: "equilateral"
Input: a = 1, b = 2, c = 3
Output: "not a triangle"
Constraints
0 <= a, b, c <= 1000(integers)
Goals
- Reject impossible triangles with the triangle inequality
- Combine equality tests with and/or
- Order the checks so the most specific case wins