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

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++

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// 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

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Java

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// 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

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Python

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# 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))

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C#

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// 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

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PHP

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<?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
?>

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Output:

YES


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Improved By : Mithun Kumar



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