3321 Type Of Triangle

Type of Triangle

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

A triangle is called **equilateral** if it has all sides of equal length.
A triangle is called **isosceles** if it has exactly two sides of equal length.
A triangle is called **scalene** if all its sides are of different lengths.

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

 

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

class Solution:
    def triangleType(self, nums: List[int]) -> str:
        nums.sort()
        if nums[0] + nums[1] <= nums[2]:
            return "none"

        if nums[0] == nums[1] == nums[2]:
            return "equilateral"

        if nums[0] == nums[1] or nums[1] == nums[2] or nums[0] == nums[2]:
            return "isosceles"

        return "scalene"