Objective

Create a python program that determines properties of a triangle

Specification: Create a python program triangle.py that given the lengths of three sides of a triangle, your program should provide answers for each of the following questions:

1. Is it really a triangle? If one side is longer than the sum of the other two sides, then it is not.

2. Is it a right triangle? That is, does it satisfy the Pythagorean Theorem? If it is not a triangle, skip this question.

3. What is the perimeter of the triangle?

4. What is the area of the triangle? Usesqrt(s(sa)(sb)(sc)), where

   s=1/2*perimeter,a,b,c are the lengths of the three sides.

You need to break up your program into three functions:

 classify_triangle([]) # this function will print out the answer of question 1, 2. # Arguments: a list, which contains three numbers, indicates a triangle. # return: None 

 perimeter([]) # this function will calculate the perimeter of the triangle. # Arguments: a list, which contains three numbers, indicates a triangle. # return: a number(the perimeter) 

 area([]) # this function will calculate the area of the triangle # Arguments: a list, which contains three numbers, indicates a triangle. # return: a number(the area) 

Hints:

You may need following functions :

 math.sqrt(), list.sort(). #Here is an example of using list.sort(): a = [3, 2, 1] a.sort() print(a) # [1,2,3] will be printed. 

Example test cases:

sides = [2,2,2] classify_triangle(sides) print(The area of the triangle is, area(sides)) print(The perimeter of the triangle is, perimeter(sides))

The above main program should print following sentences:

This is a triangle. This is not right triangle.

The area of the triangle is 1.732.The perimeter of the triangle is 6.0.

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sides = [3,4,5] classify_triangle(sides) print(The area of the triangle is, area(sides)) print(The perimeter of the triangle is, perimeter(sides))

The above program should print following sentences:

This is a triangle. This is a right triangle.

The area of the triangle is 6.0. The perimeter of the triangle is 12.0.

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sides = [8,5,2] classify_triangle(sides)

The above program should print following sentences:This is not a triangle.