type-of-triangle

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Algorithms

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

<ul>
	<li>A triangle is called equilateral if it has all sides of equal length.</li>
	<li>A triangle is called isosceles if it has exactly two sides of equal length.</li>
	<li>A triangle is called scalene if all its sides are of different lengths.</li>
</ul>

Return a string representing the type of triangle that can be formed or <code>&quot;none&quot;</code> if it cannot form a triangle.

&nbsp;
Example 1:

<pre>
Input: nums = [3,3,3]
Output: &quot;equilateral&quot;
Explanation: Since all the sides are of equal length, therefore, it will form an equilateral triangle.
</pre>

Example 2:

<pre>
Input: nums = [3,4,5]
Output: &quot;scalene&quot;
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.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>nums.length == 3</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 100</code></li>
</ul>

triangleType

Type of Triangle

Array

Math

Sorting

给你一个下标从 0&nbsp;开始长度为 <code>3</code>&nbsp;的整数数组&nbsp;<code>nums</code>&nbsp;，需要用它们来构造三角形。

<ul>
	<li>如果一个三角形的所有边长度相等，那么这个三角形称为&nbsp;equilateral&nbsp;。</li>
	<li>如果一个三角形恰好有两条边长度相等，那么这个三角形称为&nbsp;isosceles&nbsp;。</li>
	<li>如果一个三角形三条边的长度互不相同，那么这个三角形称为&nbsp;scalene&nbsp;。</li>
</ul>

如果这个数组无法构成一个三角形，请你返回字符串&nbsp;<code>"none"</code>&nbsp;，否则返回一个字符串表示这个三角形的类型。

&nbsp;

示例 1：

<pre>
输入：nums = [3,3,3]
输出："equilateral"
解释：由于三条边长度相等，所以可以构成一个等边三角形，返回 "equilateral" 。
</pre>

示例 2：

<pre>
输入：nums = [3,4,5]
输出："scalene"
解释：
nums[0] + nums[1] = 3 + 4 = 7 ，大于 nums[2] = 5 。
nums[0] + nums[2] = 3 + 5 = 8 ，大于 nums[1] = 4 。
nums[1] + nums[2] = 4 + 5 = 9 ，大于 nums[0] = 3 。
由于任意两边之和都大于第三边，所以可以构成一个三角形，因为三条边的长度互不相等，所以返回 "scalene"。
</pre>

提示：

<ul>
	<li><code>nums.length == 3</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 100</code></li>
</ul>