Given the lengths of three legs of a potential triangle, write a function to classify the type of triangle that results:

• Equilateral (all sides are the same length),
• Isosceles (exactly two sides have the same length),
• Scalene (all sides are different lengths) or
• Invalid (the sum of the two smaller sides are not longer than the longest side. See hint below 1 )

Note: your program should accept the legs of the triangle in any order. For example:

triangle_classify(3,4,4)

Isoceles

triangle_classify(4,3,4)

Isoceles

You should also write a test function that demonstrates that your code works (i.e. the expected output matches the actual output for a variety of cases.

Important Note: we are using the programming language PYTHON