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

Last Updated : 29 Jun, 2022
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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


 


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 <bits/stdc++.h> 
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 
<?php
// PHP program to check if a triangle 
// of positive area is possible with
// the given angles

function isTriangleExists($a, $b, $c)
{
    // Checking if the sum of three 
    // angles is 180 and none of 
    // the angles is zero
    if($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
$a = 50;
$b = 60;
$c = 70;
echo isTriangleExists($a, $b, $c);

// This code is contributed by mits
?>
JavaScript 
<script>
// javascript program to check if a triangle 
// of positive area is possible with
// the given angles    
function isTriangleExists(a , b , 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
    var a = 50, b = 60, c = 70;
    document.write(isTriangleExists(a, b, c));

// This code is contributed by Rajput-Ji 
</script>

Output: 
YES

 

Time complexity: O(1)

Auxiliary Space: O(1)


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