# Type of Triangle Solution

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#### Problem

Write a query identifying theย typeย of each record in theย TRIANGLESย table using its three side lengths. Output one of the following statements for each record in the table:

• Equilateral: Itโs a triangle withย 3ย sides of equal length.
• Isosceles: Itโs a triangle withย 2ย sides of equal length.
• Scalene: Itโs a triangle withย 3ย sides of differing lengths.
• Not A Triangle: The given values ofย A,ย B, andย Cย donโt form a triangle.

Input Format

Theย TRIANGLESย table is described as follows:

Each row in the table denotes the lengths of each of a triangleโs three sides.

Sample Input

Sample Output

```Isosceles
Equilateral
Scalene
Not A Triangle```

Explanation

Values in the tupleย (20, 20, 30)ย form an Isosceles triangle, becauseย A == B.
Values in the tupleย (20, 20, 20)ย form an Equilateral triangle, becauseย A == B == C. Values in the tupleย (20, 21, 22)ย form a Scalene triangle, becauseย A =! B =! C.
Values in the tupleย (13, 14, 30)ย cannot form a triangle because the combined value of sidesย Aย andย Bย is not larger than that of sideย C.

## Solution โ Type of Triangle Solution

##### MySQL Code
```select
if(A+B<=C or B+C<=A or A+C<=B,"Not A Triangle",
if(A=B and B=C,"Equilateral",
if(A=B or B=C or A=C,"Isosceles","Scalene")))
from TRIANGLES as T;```

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