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Type of Triangle

You are given a 0-indexed integer array nums of size 3 which can form the sides of a triangle.

You are given a 0-indexed integer array nums of size 3 which can form the sides of a triangle.

Return a string representing the type of triangle that can be formed or "none" if it cannot form a triangle.

Type of Triangle diagram

Example 1

Input: nums = [3,3,3]

Output: "equilateral"

Explanation: Since all the sides are of equal length, therefore, it will form an equilateral triangle.

Example 2

Input: nums = [3,4,5]

Output: "scalene"

Explanation: nums[0] + nums[1] = 3 + 4 = 7, which is greater than nums[2] = 5. nums[0] + nums[2] = 3 + 5 = 8, which is greater than nums[1] = 4. nums[1] + nums[2] = 4 + 5 = 9, which is greater than nums[0] = 3. Since the sum of the two sides is greater than the third side for all three cases, therefore, it can form a triangle. As all the sides are of different lengths, it will form a scalene triangle.

Constraints

  • nums.length == 3
  • 1 <= nums[i] <= 100

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