Triangle classification

Implement a program that reads three integer numbers: a, b and c. The program must indicate whether the numbers can represent the sides of a triangle. For this, each value must be less than the sum of the other two. If so, the program must indicate if it is a:

scalene triangle (if all three sides are different),
equilateral triangle (if all three sides are equal), or
isosceles triangle (two equal sides and one different).

This triangle challenge is well known. It was proposed by Jerry Weinberg¹, a famous computer scientist, and described by Glenford Myers, who wrote the first book on software testing, the classic The Art of Software Testing².

Test your program with the set of test cases proposed below:

test case ID	inputs			expected output
	`a`	`b`	`c`
1	1	50	50	Isosceles
2	2	50	50	Isosceles
3	99	50	50	Isosceles
4	100	50	50	Not a Traingle
5	50	50	50	Equilateral
6	50	1	50	Isosceles
7	50	2	50	Isosceles
8	50	99	50	Isosceles
9	50	100	50	Not a Triangle
10	50	50	1	Isosceles
11	50	50	2	Isosceles
12	50	50	99	Isosceles
13	50	50	100	Not a Triangle

Insist that the students test their programs by giving them test
cases. Also include a bit of anecdotal history on the triangle
program and first book on software testing.

Test Informed Learning with Examples

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Triangle classification