angles-of-a-triangle

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Algorithms

You are given a positive integer array <code>sides</code> of length 3.

Determine if there exists a triangle with positive area whose three side lengths are given by the elements of <code>sides</code>.

If such a triangle exists, return an array of three floating-point numbers representing its internal angles (in degrees), sorted in non-decreasing order. Otherwise, return an empty array.

Answers within <code>10-5</code> of the actual answer will be accepted.

&nbsp;
Example 1:

<div class="example-block">
Input: sides = [3,4,5]

Output: [36.86990,53.13010,90.00000]

Explanation:

You can form a right-angled triangle with side lengths 3, 4, and 5. The internal angles of this triangle are approximately 36.869897646, 53.130102354, and 90 degrees respectively.
</div>

Example 2:

<div class="example-block">
Input: sides = [2,4,2]

Output: []

Explanation:

You cannot form a triangle with positive area using side lengths 2, 4, and 2.
</div>

&nbsp;
Constraints:

<ul>
	<li><code>sides.length == 3</code></li>
	<li><code>1 &lt;= sides[i] &lt;= 1000</code></li>
</ul>