# Program To Check whether a Triangle is Equilateral, Isosceles or Scalene

Given three integers as X, Y, and Z representing the three sides of a triangle, the task is to check whether the triangle formed by the given sides is equilateral, isosceles, or scalene.

Equilateral Triangle: A triangle is said to be equilateral triangle if all the sides are equal. If X, Y, Z are three sides of the triangle. Then, the triangle is equilateral only if X = Y = Z.

Isosceles Triangle: A triangle is said to be an isosceles triangle if any of its two sides are equal. If X, Y, Z are three sides of the triangle.Then, the triangle is isosceles if either X = Y or X = Z or Y = Z.

Scalene Triangle: A triangle is said Scalene Triangle if none of its sides is equal.

Examples:

Input: X = 6, Y = 8, Z = 10
Output: Scalene Triangle
Explanation:
Since all the sides of the given triangle are unequal, the triangle is scalene.

Input: X = 10, Y = 10, Z = 10
Output: Equilateral Triangle
Explanation:
Since all the sides of the given triangle are equal.

Approach: Follow the steps below to solve the problem:

1. Check if X = Y and Y = Z. If found to be true, print “Equilateral Triangle”.
2. If it is not an Equilateral triangle, then check if X = Y or X = Z or Y = Z. If found to be true, print “Isosceles Triangle”.
3. If none of the above steps are satisfied, then print “Scalene Triangle”.

Below is the implementation of the above approach:

## C++

 `// C++ program for the above approach  ` `#include   ` `using` `namespace` `std;  ` ` `  `// Function to check if the triangle ` `// is equilateral or isosceles or scalene ` `void` `checkTriangle(``int` `x, ``int` `y, ``int` `z) ` `{ ` `     `  `    ``// Check for equilateral triangle ` `    ``if` `(x == y && y == z) ` `        ``cout << ``"Equilateral Triangle"``; ` ` `  `    ``// Check for isoceles triangle ` `    ``else` `if` `(x == y || y == z || z == x) ` `        ``cout << ``"Isoceles Triangle"``; ` ` `  `    ``// Otherwise scalene triangle ` `    ``else` `        ``cout << ``"Scalene Triangle"``; ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` `     `  `    ``// Given sides of triangle ` `    ``int` `x = 8, y = 7, z = 9; ` `     `  `    ``// Function call ` `    ``checkTriangle(x, y, z); ` `} ` ` `  `// This code is contributed by jana_sayantan `

## Java

 `// Java program for the above approach  ` `class` `GFG{ ` `     `  `// Function to check if the triangle ` `// is equilateral or isosceles or scalene ` `static` `void` `checkTriangle(``int` `x, ``int` `y, ``int` `z) ` `{ ` ` `  `    ``// Check for equilateral triangle ` `    ``if` `(x == y && y == z ) ` `        ``System.out.println(``"Equilateral Triangle"``); ` ` `  `    ``// Check for isoceles triangle ` `    ``else` `if` `(x == y || y == z || z == x ) ` `        ``System.out.println(``"Isoceles Triangle"``); ` ` `  `    ``// Otherwise scalene triangle ` `    ``else` `        ``System.out.println(``"Scalene Triangle"``); ` `} ` ` `  `// Driver Code ` `public` `static` `void` `main(String[] args) ` `{ ` `     `  `    ``// Given sides of triangle ` `    ``int` `x = ``8``, y = ``7``, z = ``9``; ` `     `  `    ``// Function call ` `    ``checkTriangle(x, y, z); ` `} ` `} ` ` `  `// This code is contributed by jana_sayantan `

## Python3

 `# Python3 program for the above approach ` ` `  `# Function to check if the triangle ` `# is equilateral or isosceles or scalene ` `def` `checkTriangle(x, y, z): ` ` `  `    ``# _Check for equilateral triangle ` `    ``if` `x ``=``=` `y ``=``=` `z: ` `        ``print``(``"Equilateral Triangle"``) ` ` `  `    ``# Check for isoceles triangle ` `    ``elif` `x ``=``=` `y ``or` `y ``=``=` `z ``or` `z ``=``=` `x: ` `        ``print``(``"Isoceles Triangle"``) ` ` `  `    ``# Otherwise scalene triangle ` `    ``else``: ` `        ``print``(``"Scalene Triangle"``) ` ` `  ` `  `# Driver Code ` ` `  `# Given sides of triangle ` `x ``=` `8` `y ``=` `7` `z ``=` `9` ` `  `# Function Call ` `checkTriangle(x, y, z) `

## C#

 `// C# program for the above approach  ` `using` `System; ` ` `  `class` `GFG{ ` `     `  `// Function to check if the triangle ` `// is equilateral or isosceles or scalene ` `static` `void` `checkTriangle(``int` `x, ``int` `y, ``int` `z) ` `{ ` ` `  `    ``// Check for equilateral triangle ` `    ``if` `(x == y && y == z ) ` `        ``Console.WriteLine(``"Equilateral Triangle"``); ` ` `  `    ``// Check for isoceles triangle ` `    ``else` `if` `(x == y || y == z || z == x ) ` `        ``Console.WriteLine(``"Isoceles Triangle"``); ` ` `  `    ``// Otherwise scalene triangle ` `    ``else` `        ``Console.WriteLine(``"Scalene Triangle"``); ` `} ` ` `  `// Driver Code ` `public` `static` `void` `Main() ` `{ ` `     `  `    ``// Given sides of triangle ` `    ``int` `x = 8, y = 7, z = 9; ` `     `  `    ``// Function call ` `    ``checkTriangle(x, y, z); ` `} ` `} ` ` `  `// This code is contributed by code_hunt`

Output:

```Scalene Triangle
```

Time Complexity: O(1)
Auxiliary Space: O(1)

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Improved By : jana_sayantan, code_hunt