# Type of Triangle Solution

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#### Problem

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

- Equilateral: It’s a triangle with 3 sides of equal length.
- Isosceles: It’s a triangle with 2 sides of equal length.
- Scalene: It’s a triangle with 3 sides of differing lengths.
- Not A Triangle: The given values of A, B, and C don’t form a triangle.

**Input Format**

The TRIANGLES table is described as follows:

Column | Type |
---|---|

A | Integer |

B | Integer |

C | Integer |

Each row in the table denotes the lengths of each of a triangle’s three sides.

**Sample Input**

A | B | C |
---|---|---|

20 | 20 | 23 |

20 | 20 | 20 |

20 | 21 | 22 |

13 | 14 | 30 |

**Sample Output**

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

**Explanation**

Values in the tuple (20, 20, 30) form an Isosceles triangle, because A == B.

Values in the tuple (20, 20, 20) form an Equilateral triangle, because A == B == C. Values in the tuple (20, 21, 22) form a Scalene triangle, because A =! B =! C.

Values in the tuple (13, 14, 30) cannot form a triangle because the combined value of sides A and B is not larger than that of side C.

## Solution – 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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