# Length of a Diagonal of a Parallelogram using the length of Sides and the other Diagonal

Given two integers A and B, denoting the length of a parallelogram and an integer D, denoting the length of a diagonal, the task is to find the length of another diagonal of the parallelogram.

Examples:

Input: A = 10, B = 30, D = 20
Output: 40.0

Input: A = 6, B = 8, D = 10
Output: 10.0

Approach:
The relation between sides and diagonals of a parallelogram length of diagonal is given by the equation:

Below is the implementation of the above approach:

 // C++ Program to implement  // the above approach  #include  using namespace std;     // Function to calculate the length  // of the diagonal of a parallelogram  // using two sides and other diagonal  float Length_Diagonal(int a, int b, int d)  {         float diagonal = sqrt(2 * ((a * a) +                                  (b * b)) - (d * d));         return diagonal;  }     // Driver Code  int main()  {      int A = 10;      int B = 30;      int D = 20;         // Function Call      float ans = Length_Diagonal(A, B, D);         // Print the final answer      printf("%0.1f", ans);      return 0;  }     // This code is contributed by Rohit_ranjan

 // Java Program to implement  // the above approach  class GFG{     // Function to calculate the length  // of the diagonal of a parallelogram  // using two sides and other diagonal  static float Length_Diagonal(int a, int b, int d)  {         float diagonal = (float) Math.sqrt(2 * ((a * a) +                                    (b * b)) - (d * d));         return diagonal;  }     // Driver Code  public static void main(String[] args)  {      int A = 10;      int B = 30;      int D = 20;         // Function Call      float ans = Length_Diagonal(A, B, D);         // Print the final answer      System.out.printf("%.1f", ans);  }  }     // This code is contributed by Rajput-Ji

 # Python Program to implement  # the above approach     import math     # Function to calculate the length  # of the diagonal of a parallelogram  # using two sides and other diagonal  def Length_Diagonal(a, b, d):         diagonal = math.sqrt(2 * ((a**2) \      + (b**2)) - (d**2))         return diagonal        # Driver Code  A = 10 B = 30 D = 20    # Function Call  ans = Length_Diagonal(A, B, D)     # Print the final answer  print(round(ans, 2))

 // C# Program to implement  // the above approach  using System;  class GFG{     // Function to calculate the length  // of the diagonal of a parallelogram  // using two sides and other diagonal  static float Length_Diagonal(int a, int b, int d)  {         float diagonal = (float) Math.Sqrt(2 * ((a * a) +                                    (b * b)) - (d * d));         return diagonal;  }     // Driver Code  public static void Main(String[] args)  {      int A = 10;      int B = 30;      int D = 20;         // Function Call      float ans = Length_Diagonal(A, B, D);         // Print the readonly answer      Console.Write("{0:F1}", ans);  }  }     // This code is contributed by Rajput-Ji

Output:
40.0



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

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Improved By : Rohit_ranjan, Rajput-Ji

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