# The Angles of a Triangle

You are given the lengths for each side on a triangle.
You need to find all three angles for this triangle.
If the given side lengths cannot form a triangle (or form a degenerated triangle),
then you must return all angles as 0 (zero).
The angles should be represented as a list of integers in
**
ascending order
**
.
Each angle is measured in degrees and rounded to the nearest integer number (Standard mathematical rounding).

**
Input:
**
The lengths of the sides of a triangle as integers.

**
Output:
**
Angles of a triangle in degrees as sorted list of integers.

**
Example:
**

checkio(4, 4, 4) == [60, 60, 60] checkio(3, 4, 5) == [37, 53, 90] checkio(2, 2, 5) == [0, 0, 0]

**
How it is used:
**
This is a classical geometric task. The ideas can be useful in topography and architecture.
With this concept you can measure an angle without the need for a protractor.

**
Precondition:
**

0 < a,b,c ≤ 1000

CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.

In order to install CheckiO client you'll need installed Python (version at least 3.8)

Install CheckiO Client first:

pip3 install checkio_client

Configure your tool

checkio --domain=py config --key=

Sync solutions into your local folder

checkio sync

(in beta testing) Launch local server so your browser can use it and sync solution between local file end extension on the fly. (doesn't work for safari)

checkio serv -d

Alternatevly, you can install Chrome extension or FF addon

checkio install-plugin

checkio install-plugin --ff

checkio install-plugin --chromium

Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.