Problem Definition

A triangle is a geometric shape that has three sides and three angles. You can calculate the three angles and $)$ of the triangle in Figure$1$ if the three sides' lengths $(a,b,$ and $c)$ are given using the given equations below:

$=co{s}^{-1}(\frac{b^2+c^2-a^2}{2bc})$

$=co{s}^{-1}(\frac{c^2+a^2-b^2}{2ac})$

$=co{s}^{-1}(\frac{a^2+b^2-c^2}{2ab})$

Write a Python program that calculates and displays the triangle's three angles $($in degrees$)$ based on the user input for the three side lengths. Your program should:

Use appropriate variable names, and meaningful comments to describe the algorithm.

Use an appropriate message and a suitable format to display the result $($see Figure $2)$

Display the angles in degrees using $2$ decimal places. Upload your Python program to Moodle.

This program calculates the angles $($in degrees$)$ of a triangle where the side lengths are given.

Reading the triangle sides from the user:

$************************************************************************************$

Enter the length of side a: $8$

Enter the length of side b: $7$

Enter the length of side c: $6$

The angles of the triangle in degree are:

alpha $=75\mathrm{.}52$

beta $=57\mathrm{.}91$

gamma $=46\mathrm{.}57$

Figure $2$: output display in screen