# Check if a triangle of positive area is possible with the given angles

Given three angles. The task is to check if it is possible to have a triangle of positive area with these angles. If it is possible print “YES” else print “NO”.

Examples:

```Input : ang1 = 50, ang2 = 60, ang3 = 70
Output : YES

Input : ang1 = 50, ang2 = 65, ang3 = 80
Output : NO
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: We can form a valid triangle if the below conditions satisfies:

• The sum of the three given angles equals to 180.
• The sum of any two angles is greater than equal to the third one.
• None of the given angles is zero.

Below is the implementation of the above approach:

## C++

 `// C++ program to check if a triangle  ` `// of positive area is possible with ` `// the given angles ` `#include   ` `using` `namespace` `std;  ` ` `  `string isTriangleExists(``int` `a, ``int` `b, ``int` `c) ` `{ ` `    ``// Checking if the sum of three  ` `    ``// angles is 180 and none of  ` `    ``// the angles is zero ` `    ``if``(a != 0 && b != 0 && c != 0 && (a + b + c)== 180) ` `        ``// Checking if sum of any two angles ` `        ``// is greater than equal to the third one ` `        ``if``((a + b)>= c || (b + c)>= a || (a + c)>= b) ` `            ``return` `"YES"``; ` `        ``else` `            ``return` `"NO"``; ` `    ``else` `        ``return` `"NO"``; ` `} ` `// Driver Code ` `int` `main() ` `{ ` `int` `a=50, b=60, c = 70; ` `cout << isTriangleExists(a, b, c) << endl; ` `return` `0; ` `} ` `// This code is contributed by mits `

## Java

 `// Java program to check if a triangle  ` `// of positive area is possible with ` `// the given angles ` ` `  `class` `GFG ` `{ ` `static` `String isTriangleExists(``int` `a, ``int` `b, ``int` `c) ` `{ ` `    ``// Checking if the sum of three  ` `    ``// angles is 180 and none of  ` `    ``// the angles is zero ` `    ``if``(a != ``0` `&& b != ``0` `&& c != ``0` `&& (a + b + c)== ``180``) ` `        ``// Checking if sum of any two angles ` `        ``// is greater than equal to the third one ` `        ``if``((a + b)>= c || (b + c)>= a || (a + c)>= b) ` `            ``return` `"YES"``; ` `        ``else` `            ``return` `"NO"``; ` `    ``else` `        ``return` `"NO"``; ` `} ` `// Driver Code ` `public` `static` `void` `main(String[] args) ` `{ ` `int` `a=``50``, b=``60``, c = ``70``; ` `System.out.println(isTriangleExists(a, b, c)); ` `} ` `} ` `// This code is contributed by mits `

## Python

 `# Python program to check if a triangle  ` `# of positive area is possible with ` `# the given angles ` ` `  `def` `isTriangleExists(a, b, c): ` `    ``# Checking if the sum of three  ` `    ``# angles is 180 and none of  ` `    ``# the angles is zero ` `    ``if``(a !``=` `0` `and` `b !``=` `0` `and` `c !``=` `0` `and` `(a ``+` `b ``+` `c)``=``=` `180``): ` `        ``# Checking if sum of any two angles ` `        ``# is greater than equal to the third one ` `        ``if``((a ``+` `b)>``=` `c ``or` `(b ``+` `c)>``=` `a ``or` `(a ``+` `c)>``=` `b): ` `            ``return` `"YES"` `        ``else``: ` `            ``return` `"NO"` `    ``else``: ` `        ``return` `"NO"` ` `  `# Driver Code ` `a, b, c ``=` `50``, ``60``, ``70` ` `  `print``(isTriangleExists(``50``, ``60``, ``70``)) `

## C#

 `// C# program to check if a triangle  ` `// of positive area is possible with ` `// the given angles ` `class` `GFG ` `{ ` `static` `string` `isTriangleExists(``int` `a,  ` `                               ``int` `b, ` `                               ``int` `c) ` `{ ` `    ``// Checking if the sum of three  ` `    ``// angles is 180 and none of  ` `    ``// the angles is zero ` `    ``if``(a != 0 && b != 0 &&  ` `       ``c != 0 && (a + b + c) == 180) ` `        `  `        ``// Checking if sum of any two  ` `        ``// angles is greater than equal ` `        ``// to the third one ` `        ``if``((a + b) >= c || (b + c) >= a ||  ` `                           ``(a + c) >= b) ` `            ``return` `"YES"``; ` `        ``else` `            ``return` `"NO"``; ` `    ``else` `        ``return` `"NO"``; ` `} ` ` `  `// Driver Code ` `static` `void` `Main() ` `{ ` `    ``int` `a = 50, b = 60, c = 70; ` `    ``System.Console.WriteLine(isTriangleExists(a, b, c)); ` `} ` `} ` ` `  `// This code is contributed by mits `

## PHP

 `= ``\$c` `||  ` `           ``(``\$b` `+ ``\$c``)>= ``\$a` `|| (``\$a` `+ ``\$c``)>= ``\$b``) ` `            ``return` `"YES"``; ` `        ``else` `            ``return` `"NO"``; ` `    ``else` `        ``return` `"NO"``; ` `} ` ` `  `// Driver Code ` `\$a` `= 50; ` `\$b` `= 60; ` `\$c` `= 70; ` `echo` `isTriangleExists(``\$a``, ``\$b``, ``\$c``); ` ` `  `// This code is contributed by mits ` `?> `

Output:

```YES
```

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